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Finding the Third Proportional to 103,706,344 and 223,490,534

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Solution

The third proportional to 103,706,344 and 223,490,534 is: 481,629,347.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,706,344 : 223,490,534 = 223,490,534 : x
  2. Step 2: Convert to fraction form
    103,706,344/223,490,534 = 223,490,534/x
  3. Step 3: Cross multiply
    103,706,344x = 223,490,534 × 223,490,534
  4. Step 4: Simplify right side
    103,706,344x = 49,948,018,787,605,152
  5. Step 5: Solve for x
    x = 49,948,018,787,605,152/103,706,344
  6. Step 6: Final answer
    x = 481,629,347.45

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.