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Finding the Third Proportional to 96,249,465 and 200,430,450

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Solution

The third proportional to 96,249,465 and 200,430,450 is: 417,377,543.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,249,465 : 200,430,450 = 200,430,450 : x
  2. Step 2: Convert to fraction form
    96,249,465/200,430,450 = 200,430,450/x
  3. Step 3: Cross multiply
    96,249,465x = 200,430,450 × 200,430,450
  4. Step 4: Simplify right side
    96,249,465x = 40,172,365,287,202,496
  5. Step 5: Solve for x
    x = 40,172,365,287,202,496/96,249,465
  6. Step 6: Final answer
    x = 417,377,543.73

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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.