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Finding the Third Proportional to 113,106,240 and 174,068,352

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Solution

The third proportional to 113,106,240 and 174,068,352 is: 267,887,882.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,106,240 : 174,068,352 = 174,068,352 : x
  2. Step 2: Convert to fraction form
    113,106,240/174,068,352 = 174,068,352/x
  3. Step 3: Cross multiply
    113,106,240x = 174,068,352 × 174,068,352
  4. Step 4: Simplify right side
    113,106,240x = 30,299,791,167,995,904
  5. Step 5: Solve for x
    x = 30,299,791,167,995,904/113,106,240
  6. Step 6: Final answer
    x = 267,887,882.83

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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.