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Finding the Third Proportional to 145,510,977,215 and 318,452,972,850

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Solution

The third proportional to 145,510,977,215 and 318,452,972,850 is: 696,939,144,097.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,510,977,215 : 318,452,972,850 = 318,452,972,850 : x
  2. Step 2: Convert to fraction form
    145,510,977,215/318,452,972,850 = 318,452,972,850/x
  3. Step 3: Cross multiply
    145,510,977,215x = 318,452,972,850 × 318,452,972,850
  4. Step 4: Simplify right side
    145,510,977,215x = 101,412,295,917,002,834,313,216
  5. Step 5: Solve for x
    x = 101,412,295,917,002,834,313,216/145,510,977,215
  6. Step 6: Final answer
    x = 696,939,144,097.43

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.