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Finding the Third Proportional to 125,102,127.38 and 260,558,857.69

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Solution

The third proportional to 125,102,127.38 and 260,558,857.69 is: 542,683,963.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,102,127.38 : 260,558,857.69 = 260,558,857.69 : x
  2. Step 2: Convert to fraction form
    125,102,127.38/260,558,857.69 = 260,558,857.69/x
  3. Step 3: Cross multiply
    125,102,127.38x = 260,558,857.69 × 260,558,857.69
  4. Step 4: Simplify right side
    125,102,127.38x = 67,890,918,319,414,880
  5. Step 5: Solve for x
    x = 67,890,918,319,414,880/125,102,127.38
  6. Step 6: Final answer
    x = 542,683,963.45

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.