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Finding the Third Proportional to 226,220,042 and 345,904,023

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Solution

The third proportional to 226,220,042 and 345,904,023 is: 528,908,013.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,220,042 : 345,904,023 = 345,904,023 : x
  2. Step 2: Convert to fraction form
    226,220,042/345,904,023 = 345,904,023/x
  3. Step 3: Cross multiply
    226,220,042x = 345,904,023 × 345,904,023
  4. Step 4: Simplify right side
    226,220,042x = 119,649,593,127,584,528
  5. Step 5: Solve for x
    x = 119,649,593,127,584,528/226,220,042
  6. Step 6: Final answer
    x = 528,908,013.94

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.