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Finding the Third Proportional to 96,249,469 and 200,430,458

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Solution

The third proportional to 96,249,469 and 200,430,458 is: 417,377,559.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,249,469 : 200,430,458 = 200,430,458 : x
  2. Step 2: Convert to fraction form
    96,249,469/200,430,458 = 200,430,458/x
  3. Step 3: Cross multiply
    96,249,469x = 200,430,458 × 200,430,458
  4. Step 4: Simplify right side
    96,249,469x = 40,172,368,494,089,760
  5. Step 5: Solve for x
    x = 40,172,368,494,089,760/96,249,469
  6. Step 6: Final answer
    x = 417,377,559.70

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.