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Finding the Third Proportional to 127,931,085 and 187,098,886.13

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Solution

The third proportional to 127,931,085 and 187,098,886.13 is: 273,631,644.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,931,085 : 187,098,886.13 = 187,098,886.13 : x
  2. Step 2: Convert to fraction form
    127,931,085/187,098,886.13 = 187,098,886.13/x
  3. Step 3: Cross multiply
    127,931,085x = 187,098,886.13 × 187,098,886.13
  4. Step 4: Simplify right side
    127,931,085x = 35,005,993,189,215,716
  5. Step 5: Solve for x
    x = 35,005,993,189,215,716/127,931,085
  6. Step 6: Final answer
    x = 273,631,644.64

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.