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Finding the Third Proportional to 165,594,895,440 and 360,203,730,144

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Solution

The third proportional to 165,594,895,440 and 360,203,730,144 is: 783,518,881,212.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,594,895,440 : 360,203,730,144 = 360,203,730,144 : x
  2. Step 2: Convert to fraction form
    165,594,895,440/360,203,730,144 = 360,203,730,144/x
  3. Step 3: Cross multiply
    165,594,895,440x = 360,203,730,144 × 360,203,730,144
  4. Step 4: Simplify right side
    165,594,895,440x = 129,746,727,209,651,568,377,856
  5. Step 5: Solve for x
    x = 129,746,727,209,651,568,377,856/165,594,895,440
  6. Step 6: Final answer
    x = 783,518,881,212.51

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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.