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Finding the Third Proportional to 249,105,816.63 and 535,179,738.23

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Solution

The third proportional to 249,105,816.63 and 535,179,738.23 is: 1,149,781,872.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,105,816.63 : 535,179,738.23 = 535,179,738.23 : x
  2. Step 2: Convert to fraction form
    249,105,816.63/535,179,738.23 = 535,179,738.23/x
  3. Step 3: Cross multiply
    249,105,816.63x = 535,179,738.23 × 535,179,738.23
  4. Step 4: Simplify right side
    249,105,816.63x = 286,417,352,216,640,864
  5. Step 5: Solve for x
    x = 286,417,352,216,640,864/249,105,816.63
  6. Step 6: Final answer
    x = 1,149,781,872.17

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.