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Finding the Third Proportional to 129,016,341,017 and 179,386,909,647

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Solution

The third proportional to 129,016,341,017 and 179,386,909,647 is: 249,423,159,105.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,016,341,017 : 179,386,909,647 = 179,386,909,647 : x
  2. Step 2: Convert to fraction form
    129,016,341,017/179,386,909,647 = 179,386,909,647/x
  3. Step 3: Cross multiply
    129,016,341,017x = 179,386,909,647 × 179,386,909,647
  4. Step 4: Simplify right side
    129,016,341,017x = 32,179,663,352,700,940,058,624
  5. Step 5: Solve for x
    x = 32,179,663,352,700,940,058,624/129,016,341,017
  6. Step 6: Final answer
    x = 249,423,159,105.56

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.