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Finding the Third Proportional to 249,565,853.25 and 538,590,650.63

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Solution

The third proportional to 249,565,853.25 and 538,590,650.63 is: 1,162,338,056.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,565,853.25 : 538,590,650.63 = 538,590,650.63 : x
  2. Step 2: Convert to fraction form
    249,565,853.25/538,590,650.63 = 538,590,650.63/x
  3. Step 3: Cross multiply
    249,565,853.25x = 538,590,650.63 × 538,590,650.63
  4. Step 4: Simplify right side
    249,565,853.25x = 290,079,888,940,660,800
  5. Step 5: Solve for x
    x = 290,079,888,940,660,800/249,565,853.25
  6. Step 6: Final answer
    x = 1,162,338,056.92

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