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Finding the Third Proportional to 103,663,392 and 226,852,321

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Solution

The third proportional to 103,663,392 and 226,852,321 is: 496,433,452.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,663,392 : 226,852,321 = 226,852,321 : x
  2. Step 2: Convert to fraction form
    103,663,392/226,852,321 = 226,852,321/x
  3. Step 3: Cross multiply
    103,663,392x = 226,852,321 × 226,852,321
  4. Step 4: Simplify right side
    103,663,392x = 51,461,975,543,087,040
  5. Step 5: Solve for x
    x = 51,461,975,543,087,040/103,663,392
  6. Step 6: Final answer
    x = 496,433,452.06

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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.