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Finding the Third Proportional to 116,823,681 and 249,283,656

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Solution

The third proportional to 116,823,681 and 249,283,656 is: 531,932,743.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,823,681 : 249,283,656 = 249,283,656 : x
  2. Step 2: Convert to fraction form
    116,823,681/249,283,656 = 249,283,656/x
  3. Step 3: Cross multiply
    116,823,681x = 249,283,656 × 249,283,656
  4. Step 4: Simplify right side
    116,823,681x = 62,142,341,148,726,336
  5. Step 5: Solve for x
    x = 62,142,341,148,726,336/116,823,681
  6. Step 6: Final answer
    x = 531,932,743.57

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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.