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Finding the Third Proportional to 97,213,557 and 229,481,782.50

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Solution

The third proportional to 97,213,557 and 229,481,782.50 is: 541,713,420.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,213,557 : 229,481,782.50 = 229,481,782.50 : x
  2. Step 2: Convert to fraction form
    97,213,557/229,481,782.50 = 229,481,782.50/x
  3. Step 3: Cross multiply
    97,213,557x = 229,481,782.50 × 229,481,782.50
  4. Step 4: Simplify right side
    97,213,557x = 52,661,888,499,377,304
  5. Step 5: Solve for x
    x = 52,661,888,499,377,304/97,213,557
  6. Step 6: Final answer
    x = 541,713,420.68

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.