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Finding the Third Proportional to 107,716,489 and 170,592,623

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Solution

The third proportional to 107,716,489 and 170,592,623 is: 270,170,735.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,716,489 : 170,592,623 = 170,592,623 : x
  2. Step 2: Convert to fraction form
    107,716,489/170,592,623 = 170,592,623/x
  3. Step 3: Cross multiply
    107,716,489x = 170,592,623 × 170,592,623
  4. Step 4: Simplify right side
    107,716,489x = 29,101,843,022,020,128
  5. Step 5: Solve for x
    x = 29,101,843,022,020,128/107,716,489
  6. Step 6: Final answer
    x = 270,170,735.16

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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.