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Finding the Third Proportional to 103,663,310.50 and 226,852,156.50

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Solution

The third proportional to 103,663,310.50 and 226,852,156.50 is: 496,433,122.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,663,310.50 : 226,852,156.50 = 226,852,156.50 : x
  2. Step 2: Convert to fraction form
    103,663,310.50/226,852,156.50 = 226,852,156.50/x
  3. Step 3: Cross multiply
    103,663,310.50x = 226,852,156.50 × 226,852,156.50
  4. Step 4: Simplify right side
    103,663,310.50x = 51,461,900,908,700,496
  5. Step 5: Solve for x
    x = 51,461,900,908,700,496/103,663,310.50
  6. Step 6: Final answer
    x = 496,433,122.39

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.