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Finding the Third Proportional to 112,726,442 and 174,544,314

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Solution

The third proportional to 112,726,442 and 174,544,314 is: 270,262,389.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,726,442 : 174,544,314 = 174,544,314 : x
  2. Step 2: Convert to fraction form
    112,726,442/174,544,314 = 174,544,314/x
  3. Step 3: Cross multiply
    112,726,442x = 174,544,314 × 174,544,314
  4. Step 4: Simplify right side
    112,726,442x = 30,465,717,549,730,596
  5. Step 5: Solve for x
    x = 30,465,717,549,730,596/112,726,442
  6. Step 6: Final answer
    x = 270,262,389.28

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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.