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Finding the Third Proportional to 116,823,816 and 249,283,891.50

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Solution

The third proportional to 116,823,816 and 249,283,891.50 is: 531,933,133.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,823,816 : 249,283,891.50 = 249,283,891.50 : x
  2. Step 2: Convert to fraction form
    116,823,816/249,283,891.50 = 249,283,891.50/x
  3. Step 3: Cross multiply
    116,823,816x = 249,283,891.50 × 249,283,891.50
  4. Step 4: Simplify right side
    116,823,816x = 62,142,458,561,383,776
  5. Step 5: Solve for x
    x = 62,142,458,561,383,776/116,823,816
  6. Step 6: Final answer
    x = 531,933,133.92

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.