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Finding the Third Proportional to 165,594,895,427 and 360,203,730,115

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Solution

The third proportional to 165,594,895,427 and 360,203,730,115 is: 783,518,881,147.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,594,895,427 : 360,203,730,115 = 360,203,730,115 : x
  2. Step 2: Convert to fraction form
    165,594,895,427/360,203,730,115 = 360,203,730,115/x
  3. Step 3: Cross multiply
    165,594,895,427x = 360,203,730,115 × 360,203,730,115
  4. Step 4: Simplify right side
    165,594,895,427x = 129,746,727,188,759,756,931,072
  5. Step 5: Solve for x
    x = 129,746,727,188,759,756,931,072/165,594,895,427
  6. Step 6: Final answer
    x = 783,518,881,147.86

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.