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Finding the Third Proportional to 107,716,470 and 170,592,591

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Solution

The third proportional to 107,716,470 and 170,592,591 is: 270,170,681.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,716,470 : 170,592,591 = 170,592,591 : x
  2. Step 2: Convert to fraction form
    107,716,470/170,592,591 = 170,592,591/x
  3. Step 3: Cross multiply
    107,716,470x = 170,592,591 × 170,592,591
  4. Step 4: Simplify right side
    107,716,470x = 29,101,832,104,093,280
  5. Step 5: Solve for x
    x = 29,101,832,104,093,280/107,716,470
  6. Step 6: Final answer
    x = 270,170,681.46

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.