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Finding the Third Proportional to 249,564,306 and 538,588,068

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Solution

The third proportional to 249,564,306 and 538,588,068 is: 1,162,334,115.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,564,306 : 538,588,068 = 538,588,068 : x
  2. Step 2: Convert to fraction form
    249,564,306/538,588,068 = 538,588,068/x
  3. Step 3: Cross multiply
    249,564,306x = 538,588,068 × 538,588,068
  4. Step 4: Simplify right side
    249,564,306x = 290,077,106,991,972,608
  5. Step 5: Solve for x
    x = 290,077,106,991,972,608/249,564,306
  6. Step 6: Final answer
    x = 1,162,334,115.97

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.