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Finding the Third Proportional to 153,131,850 and 235,374,651

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Solution

The third proportional to 153,131,850 and 235,374,651 is: 361,787,742.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,131,850 : 235,374,651 = 235,374,651 : x
  2. Step 2: Convert to fraction form
    153,131,850/235,374,651 = 235,374,651/x
  3. Step 3: Cross multiply
    153,131,850x = 235,374,651 × 235,374,651
  4. Step 4: Simplify right side
    153,131,850x = 55,401,226,333,371,800
  5. Step 5: Solve for x
    x = 55,401,226,333,371,800/153,131,850
  6. Step 6: Final answer
    x = 361,787,742.61

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.