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Finding the Third Proportional to 199,215,249,792 and 430,174,529,908

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Solution

The third proportional to 199,215,249,792 and 430,174,529,908 is: 928,895,385,141.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,215,249,792 : 430,174,529,908 = 430,174,529,908 : x
  2. Step 2: Convert to fraction form
    199,215,249,792/430,174,529,908 = 430,174,529,908/x
  3. Step 3: Cross multiply
    199,215,249,792x = 430,174,529,908 × 430,174,529,908
  4. Step 4: Simplify right side
    199,215,249,792x = 185,050,126,181,568,788,561,920
  5. Step 5: Solve for x
    x = 185,050,126,181,568,788,561,920/199,215,249,792
  6. Step 6: Final answer
    x = 928,895,385,141.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.