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Finding the Third Proportional to 109,497,190.50 and 169,488,216

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Solution

The third proportional to 109,497,190.50 and 169,488,216 is: 262,346,962.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,497,190.50 : 169,488,216 = 169,488,216 : x
  2. Step 2: Convert to fraction form
    109,497,190.50/169,488,216 = 169,488,216/x
  3. Step 3: Cross multiply
    109,497,190.50x = 169,488,216 × 169,488,216
  4. Step 4: Simplify right side
    109,497,190.50x = 28,726,255,362,862,656
  5. Step 5: Solve for x
    x = 28,726,255,362,862,656/109,497,190.50
  6. Step 6: Final answer
    x = 262,346,962.80

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.