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Finding the Third Proportional to 212,715,821.25 and 462,701,403

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Solution

The third proportional to 212,715,821.25 and 462,701,403 is: 1,006,472,330.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,715,821.25 : 462,701,403 = 462,701,403 : x
  2. Step 2: Convert to fraction form
    212,715,821.25/462,701,403 = 462,701,403/x
  3. Step 3: Cross multiply
    212,715,821.25x = 462,701,403 × 462,701,403
  4. Step 4: Simplify right side
    212,715,821.25x = 214,092,588,338,168,416
  5. Step 5: Solve for x
    x = 214,092,588,338,168,416/212,715,821.25
  6. Step 6: Final answer
    x = 1,006,472,330.46

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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.