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Finding the Third Proportional to 282,462,235.59 and 608,207,752.69

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Solution

The third proportional to 282,462,235.59 and 608,207,752.69 is: 1,309,614,609.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,462,235.59 : 608,207,752.69 = 608,207,752.69 : x
  2. Step 2: Convert to fraction form
    282,462,235.59/608,207,752.69 = 608,207,752.69/x
  3. Step 3: Cross multiply
    282,462,235.59x = 608,207,752.69 × 608,207,752.69
  4. Step 4: Simplify right side
    282,462,235.59x = 369,916,670,429,179,136
  5. Step 5: Solve for x
    x = 369,916,670,429,179,136/282,462,235.59
  6. Step 6: Final answer
    x = 1,309,614,609.73

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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.