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Finding the Third Proportional to 127,937,865 and 196,526,472

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Solution

The third proportional to 127,937,865 and 196,526,472 is: 301,886,030.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,937,865 : 196,526,472 = 196,526,472 : x
  2. Step 2: Convert to fraction form
    127,937,865/196,526,472 = 196,526,472/x
  3. Step 3: Cross multiply
    127,937,865x = 196,526,472 × 196,526,472
  4. Step 4: Simplify right side
    127,937,865x = 38,622,654,196,766,784
  5. Step 5: Solve for x
    x = 38,622,654,196,766,784/127,937,865
  6. Step 6: Final answer
    x = 301,886,030.35

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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.