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Finding the Third Proportional to 88,282,080 and 137,787,352

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Solution

The third proportional to 88,282,080 and 137,787,352 is: 215,053,319.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,282,080 : 137,787,352 = 137,787,352 : x
  2. Step 2: Convert to fraction form
    88,282,080/137,787,352 = 137,787,352/x
  3. Step 3: Cross multiply
    88,282,080x = 137,787,352 × 137,787,352
  4. Step 4: Simplify right side
    88,282,080x = 18,985,354,371,171,904
  5. Step 5: Solve for x
    x = 18,985,354,371,171,904/88,282,080
  6. Step 6: Final answer
    x = 215,053,319.67

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.