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Finding the Third Proportional to 124,781,838 and 269,293,428

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Solution

The third proportional to 124,781,838 and 269,293,428 is: 581,165,909.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,781,838 : 269,293,428 = 269,293,428 : x
  2. Step 2: Convert to fraction form
    124,781,838/269,293,428 = 269,293,428/x
  3. Step 3: Cross multiply
    124,781,838x = 269,293,428 × 269,293,428
  4. Step 4: Simplify right side
    124,781,838x = 72,518,950,363,991,184
  5. Step 5: Solve for x
    x = 72,518,950,363,991,184/124,781,838
  6. Step 6: Final answer
    x = 581,165,909.45

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.