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Finding the Third Proportional to 125,594,008 and 169,635,298.50

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Solution

The third proportional to 125,594,008 and 169,635,298.50 is: 229,120,281.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,594,008 : 169,635,298.50 = 169,635,298.50 : x
  2. Step 2: Convert to fraction form
    125,594,008/169,635,298.50 = 169,635,298.50/x
  3. Step 3: Cross multiply
    125,594,008x = 169,635,298.50 × 169,635,298.50
  4. Step 4: Simplify right side
    125,594,008x = 28,776,134,497,184,104
  5. Step 5: Solve for x
    x = 28,776,134,497,184,104/125,594,008
  6. Step 6: Final answer
    x = 229,120,281.73

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.