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Finding the Third Proportional to 125,077,425 and 193,904,842.50

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Solution

The third proportional to 125,077,425 and 193,904,842.50 is: 300,606,507.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,077,425 : 193,904,842.50 = 193,904,842.50 : x
  2. Step 2: Convert to fraction form
    125,077,425/193,904,842.50 = 193,904,842.50/x
  3. Step 3: Cross multiply
    125,077,425x = 193,904,842.50 × 193,904,842.50
  4. Step 4: Simplify right side
    125,077,425x = 37,599,087,944,949,808
  5. Step 5: Solve for x
    x = 37,599,087,944,949,808/125,077,425
  6. Step 6: Final answer
    x = 300,606,507.89

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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.