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Finding the Third Proportional to 108,853,851,456.50 and 170,386,008,023.50

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Solution

The third proportional to 108,853,851,456.50 and 170,386,008,023.50 is: 266,700,638,900.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,853,851,456.50 : 170,386,008,023.50 = 170,386,008,023.50 : x
  2. Step 2: Convert to fraction form
    108,853,851,456.50/170,386,008,023.50 = 170,386,008,023.50/x
  3. Step 3: Cross multiply
    108,853,851,456.50x = 170,386,008,023.50 × 170,386,008,023.50
  4. Step 4: Simplify right side
    108,853,851,456.50x = 29,031,391,730,184,207,990,784
  5. Step 5: Solve for x
    x = 29,031,391,730,184,207,990,784/108,853,851,456.50
  6. Step 6: Final answer
    x = 266,700,638,900.09

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.