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Finding the Third Proportional to 282,461,282 and 608,205,454

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Solution

The third proportional to 282,461,282 and 608,205,454 is: 1,309,609,131.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,461,282 : 608,205,454 = 608,205,454 : x
  2. Step 2: Convert to fraction form
    282,461,282/608,205,454 = 608,205,454/x
  3. Step 3: Cross multiply
    282,461,282x = 608,205,454 × 608,205,454
  4. Step 4: Simplify right side
    282,461,282x = 369,913,874,275,346,112
  5. Step 5: Solve for x
    x = 369,913,874,275,346,112/282,461,282
  6. Step 6: Final answer
    x = 1,309,609,131.76

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.