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Finding the Third Proportional to 249,652,100 and 542,757,482.50

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Solution

The third proportional to 249,652,100 and 542,757,482.50 is: 1,179,984,806.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,652,100 : 542,757,482.50 = 542,757,482.50 : x
  2. Step 2: Convert to fraction form
    249,652,100/542,757,482.50 = 542,757,482.50/x
  3. Step 3: Cross multiply
    249,652,100x = 542,757,482.50 × 542,757,482.50
  4. Step 4: Simplify right side
    249,652,100x = 294,585,684,809,737,792
  5. Step 5: Solve for x
    x = 294,585,684,809,737,792/249,652,100
  6. Step 6: Final answer
    x = 1,179,984,806.10

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.