Home / 120,779,760,460.50-180,122,252,370.75

Finding the Third Proportional to 120,779,760,460.50 and 180,122,252,370.75

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Solution

The third proportional to 120,779,760,460.50 and 180,122,252,370.75 is: 268,621,378,908.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,779,760,460.50 : 180,122,252,370.75 = 180,122,252,370.75 : x
  2. Step 2: Convert to fraction form
    120,779,760,460.50/180,122,252,370.75 = 180,122,252,370.75/x
  3. Step 3: Cross multiply
    120,779,760,460.50x = 180,122,252,370.75 × 180,122,252,370.75
  4. Step 4: Simplify right side
    120,779,760,460.50x = 32,444,025,799,112,155,725,824
  5. Step 5: Solve for x
    x = 32,444,025,799,112,155,725,824/120,779,760,460.50
  6. Step 6: Final answer
    x = 268,621,378,908.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.