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Finding the Third Proportional to 147,707,402 and 341,915,907.50

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Solution

The third proportional to 147,707,402 and 341,915,907.50 is: 791,473,455.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,707,402 : 341,915,907.50 = 341,915,907.50 : x
  2. Step 2: Convert to fraction form
    147,707,402/341,915,907.50 = 341,915,907.50/x
  3. Step 3: Cross multiply
    147,707,402x = 341,915,907.50 × 341,915,907.50
  4. Step 4: Simplify right side
    147,707,402x = 116,906,487,801,548,560
  5. Step 5: Solve for x
    x = 116,906,487,801,548,560/147,707,402
  6. Step 6: Final answer
    x = 791,473,455.08

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.