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Finding the Third Proportional to 71,017,032 and 152,820,345

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Solution

The third proportional to 71,017,032 and 152,820,345 is: 328,851,504.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,017,032 : 152,820,345 = 152,820,345 : x
  2. Step 2: Convert to fraction form
    71,017,032/152,820,345 = 152,820,345/x
  3. Step 3: Cross multiply
    71,017,032x = 152,820,345 × 152,820,345
  4. Step 4: Simplify right side
    71,017,032x = 23,354,057,845,919,024
  5. Step 5: Solve for x
    x = 23,354,057,845,919,024/71,017,032
  6. Step 6: Final answer
    x = 328,851,504.89

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.