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Finding the Third Proportional to 125,384,332 and 193,666,438

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Solution

The third proportional to 125,384,332 and 193,666,438 is: 299,133,780.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,384,332 : 193,666,438 = 193,666,438 : x
  2. Step 2: Convert to fraction form
    125,384,332/193,666,438 = 193,666,438/x
  3. Step 3: Cross multiply
    125,384,332x = 193,666,438 × 193,666,438
  4. Step 4: Simplify right side
    125,384,332x = 37,506,689,207,607,840
  5. Step 5: Solve for x
    x = 37,506,689,207,607,840/125,384,332
  6. Step 6: Final answer
    x = 299,133,780.19

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.