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Finding the Third Proportional to 199,525,818 and 466,182,340

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Solution

The third proportional to 199,525,818 and 466,182,340 is: 1,089,212,294.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,525,818 : 466,182,340 = 466,182,340 : x
  2. Step 2: Convert to fraction form
    199,525,818/466,182,340 = 466,182,340/x
  3. Step 3: Cross multiply
    199,525,818x = 466,182,340 × 466,182,340
  4. Step 4: Simplify right side
    199,525,818x = 217,325,974,127,875,584
  5. Step 5: Solve for x
    x = 217,325,974,127,875,584/199,525,818
  6. Step 6: Final answer
    x = 1,089,212,294.96

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.