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Finding the Third Proportional to 88,498 and 191,070

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Solution

The third proportional to 88,498 and 191,070 is: 412,526.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,498 : 191,070 = 191,070 : x
  2. Step 2: Convert to fraction form
    88,498/191,070 = 191,070/x
  3. Step 3: Cross multiply
    88,498x = 191,070 × 191,070
  4. Step 4: Simplify right side
    88,498x = 36,507,744,900
  5. Step 5: Solve for x
    x = 36,507,744,900/88,498
  6. Step 6: Final answer
    x = 412,526.21

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.