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Finding the Third Proportional to 282,461,210 and 608,205,310

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Solution

The third proportional to 282,461,210 and 608,205,310 is: 1,309,608,845.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,461,210 : 608,205,310 = 608,205,310 : x
  2. Step 2: Convert to fraction form
    282,461,210/608,205,310 = 608,205,310/x
  3. Step 3: Cross multiply
    282,461,210x = 608,205,310 × 608,205,310
  4. Step 4: Simplify right side
    282,461,210x = 369,913,699,112,196,096
  5. Step 5: Solve for x
    x = 369,913,699,112,196,096/282,461,210
  6. Step 6: Final answer
    x = 1,309,608,845.45

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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.