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Finding the Third Proportional to 86,344,083 and 176,156,565.75

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Solution

The third proportional to 86,344,083 and 176,156,565.75 is: 359,389,254.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,344,083 : 176,156,565.75 = 176,156,565.75 : x
  2. Step 2: Convert to fraction form
    86,344,083/176,156,565.75 = 176,156,565.75/x
  3. Step 3: Cross multiply
    86,344,083x = 176,156,565.75 × 176,156,565.75
  4. Step 4: Simplify right side
    86,344,083x = 31,031,135,656,834,072
  5. Step 5: Solve for x
    x = 31,031,135,656,834,072/86,344,083
  6. Step 6: Final answer
    x = 359,389,254.93

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.