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Finding the Third Proportional to 127,602,860 and 197,965,528

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Solution

The third proportional to 127,602,860 and 197,965,528 is: 307,127,522.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,602,860 : 197,965,528 = 197,965,528 : x
  2. Step 2: Convert to fraction form
    127,602,860/197,965,528 = 197,965,528/x
  3. Step 3: Cross multiply
    127,602,860x = 197,965,528 × 197,965,528
  4. Step 4: Simplify right side
    127,602,860x = 39,190,350,276,318,784
  5. Step 5: Solve for x
    x = 39,190,350,276,318,784/127,602,860
  6. Step 6: Final answer
    x = 307,127,522.66

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.