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Finding the Third Proportional to 96,249,467 and 200,430,454

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Solution

The third proportional to 96,249,467 and 200,430,454 is: 417,377,551.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,249,467 : 200,430,454 = 200,430,454 : x
  2. Step 2: Convert to fraction form
    96,249,467/200,430,454 = 200,430,454/x
  3. Step 3: Cross multiply
    96,249,467x = 200,430,454 × 200,430,454
  4. Step 4: Simplify right side
    96,249,467x = 40,172,366,890,646,112
  5. Step 5: Solve for x
    x = 40,172,366,890,646,112/96,249,467
  6. Step 6: Final answer
    x = 417,377,551.72

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Why These Related Problems?

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