Home / 120,779,759,623.50-180,122,251,223.25

Finding the Third Proportional to 120,779,759,623.50 and 180,122,251,223.25

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Solution

The third proportional to 120,779,759,623.50 and 180,122,251,223.25 is: 268,621,377,347.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,779,759,623.50 : 180,122,251,223.25 = 180,122,251,223.25 : x
  2. Step 2: Convert to fraction form
    120,779,759,623.50/180,122,251,223.25 = 180,122,251,223.25/x
  3. Step 3: Cross multiply
    120,779,759,623.50x = 180,122,251,223.25 × 180,122,251,223.25
  4. Step 4: Simplify right side
    120,779,759,623.50x = 32,444,025,385,731,586,260,992
  5. Step 5: Solve for x
    x = 32,444,025,385,731,586,260,992/120,779,759,623.50
  6. Step 6: Final answer
    x = 268,621,377,347.23

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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.