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Finding the Third Proportional to 113,888,456.16 and 170,086,381.88

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Solution

The third proportional to 113,888,456.16 and 170,086,381.88 is: 254,015,009.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,888,456.16 : 170,086,381.88 = 170,086,381.88 : x
  2. Step 2: Convert to fraction form
    113,888,456.16/170,086,381.88 = 170,086,381.88/x
  3. Step 3: Cross multiply
    113,888,456.16x = 170,086,381.88 × 170,086,381.88
  4. Step 4: Simplify right side
    113,888,456.16x = 28,929,377,299,328,328
  5. Step 5: Solve for x
    x = 28,929,377,299,328,328/113,888,456.16
  6. Step 6: Final answer
    x = 254,015,009.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.