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Finding the Third Proportional to 85,719,465 and 129,376,359

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Solution

The third proportional to 85,719,465 and 129,376,359 is: 195,267,694.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,719,465 : 129,376,359 = 129,376,359 : x
  2. Step 2: Convert to fraction form
    85,719,465/129,376,359 = 129,376,359/x
  3. Step 3: Cross multiply
    85,719,465x = 129,376,359 × 129,376,359
  4. Step 4: Simplify right side
    85,719,465x = 16,738,242,268,096,880
  5. Step 5: Solve for x
    x = 16,738,242,268,096,880/85,719,465
  6. Step 6: Final answer
    x = 195,267,694.08

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.