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Finding the Third Proportional to 156,293,946 and 229,758,023

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Solution

The third proportional to 156,293,946 and 229,758,023 is: 337,752,999.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,293,946 : 229,758,023 = 229,758,023 : x
  2. Step 2: Convert to fraction form
    156,293,946/229,758,023 = 229,758,023/x
  3. Step 3: Cross multiply
    156,293,946x = 229,758,023 × 229,758,023
  4. Step 4: Simplify right side
    156,293,946x = 52,788,749,132,868,528
  5. Step 5: Solve for x
    x = 52,788,749,132,868,528/156,293,946
  6. Step 6: Final answer
    x = 337,752,999.93

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.