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Finding the Third Proportional to 112,726,440 and 174,544,312.50

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Solution

The third proportional to 112,726,440 and 174,544,312.50 is: 270,262,389.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,726,440 : 174,544,312.50 = 174,544,312.50 : x
  2. Step 2: Convert to fraction form
    112,726,440/174,544,312.50 = 174,544,312.50/x
  3. Step 3: Cross multiply
    112,726,440x = 174,544,312.50 × 174,544,312.50
  4. Step 4: Simplify right side
    112,726,440x = 30,465,717,026,097,656
  5. Step 5: Solve for x
    x = 30,465,717,026,097,656/112,726,440
  6. Step 6: Final answer
    x = 270,262,389.43

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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.