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Finding the Third Proportional to 52,109,289 and 111,374,806.50

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Solution

The third proportional to 52,109,289 and 111,374,806.50 is: 238,044,843.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,109,289 : 111,374,806.50 = 111,374,806.50 : x
  2. Step 2: Convert to fraction form
    52,109,289/111,374,806.50 = 111,374,806.50/x
  3. Step 3: Cross multiply
    52,109,289x = 111,374,806.50 × 111,374,806.50
  4. Step 4: Simplify right side
    52,109,289x = 12,404,347,522,912,442
  5. Step 5: Solve for x
    x = 12,404,347,522,912,442/52,109,289
  6. Step 6: Final answer
    x = 238,044,843.08

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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.