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Finding the Third Proportional to 138,869,044 and 302,425,592

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Solution

The third proportional to 138,869,044 and 302,425,592 is: 658,615,023.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,869,044 : 302,425,592 = 302,425,592 : x
  2. Step 2: Convert to fraction form
    138,869,044/302,425,592 = 302,425,592/x
  3. Step 3: Cross multiply
    138,869,044x = 302,425,592 × 302,425,592
  4. Step 4: Simplify right side
    138,869,044x = 91,461,238,696,550,464
  5. Step 5: Solve for x
    x = 91,461,238,696,550,464/138,869,044
  6. Step 6: Final answer
    x = 658,615,023.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.