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Finding the Third Proportional to 53,445,564 and 114,449,409

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Solution

The third proportional to 53,445,564 and 114,449,409 is: 245,084,273.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,445,564 : 114,449,409 = 114,449,409 : x
  2. Step 2: Convert to fraction form
    53,445,564/114,449,409 = 114,449,409/x
  3. Step 3: Cross multiply
    53,445,564x = 114,449,409 × 114,449,409
  4. Step 4: Simplify right side
    53,445,564x = 13,098,667,220,449,280
  5. Step 5: Solve for x
    x = 13,098,667,220,449,280/53,445,564
  6. Step 6: Final answer
    x = 245,084,273.42

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.