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Finding the Third Proportional to 209,707,413 and 314,561,152

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Solution

The third proportional to 209,707,413 and 314,561,152 is: 471,841,776.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,707,413 : 314,561,152 = 314,561,152 : x
  2. Step 2: Convert to fraction form
    209,707,413/314,561,152 = 314,561,152/x
  3. Step 3: Cross multiply
    209,707,413x = 314,561,152 × 314,561,152
  4. Step 4: Simplify right side
    209,707,413x = 98,948,718,347,567,104
  5. Step 5: Solve for x
    x = 98,948,718,347,567,104/209,707,413
  6. Step 6: Final answer
    x = 471,841,776.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.