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Finding the Third Proportional to 116,823,771 and 249,283,802.25

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Solution

The third proportional to 116,823,771 and 249,283,802.25 is: 531,932,957.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,823,771 : 249,283,802.25 = 249,283,802.25 : x
  2. Step 2: Convert to fraction form
    116,823,771/249,283,802.25 = 249,283,802.25/x
  3. Step 3: Cross multiply
    116,823,771x = 249,283,802.25 × 249,283,802.25
  4. Step 4: Simplify right side
    116,823,771x = 62,142,414,064,217,104
  5. Step 5: Solve for x
    x = 62,142,414,064,217,104/116,823,771
  6. Step 6: Final answer
    x = 531,932,957.93

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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.