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Finding the Third Proportional to 125,594,009 and 169,635,300

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Solution

The third proportional to 125,594,009 and 169,635,300 is: 229,120,283.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,594,009 : 169,635,300 = 169,635,300 : x
  2. Step 2: Convert to fraction form
    125,594,009/169,635,300 = 169,635,300/x
  3. Step 3: Cross multiply
    125,594,009x = 169,635,300 × 169,635,300
  4. Step 4: Simplify right side
    125,594,009x = 28,776,135,006,090,000
  5. Step 5: Solve for x
    x = 28,776,135,006,090,000/125,594,009
  6. Step 6: Final answer
    x = 229,120,283.96

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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.