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Finding the Third Proportional to 249,238,506.50 and 542,365,182

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Solution

The third proportional to 249,238,506.50 and 542,365,182 is: 1,180,234,927.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,238,506.50 : 542,365,182 = 542,365,182 : x
  2. Step 2: Convert to fraction form
    249,238,506.50/542,365,182 = 542,365,182/x
  3. Step 3: Cross multiply
    249,238,506.50x = 542,365,182 × 542,365,182
  4. Step 4: Simplify right side
    249,238,506.50x = 294,159,990,645,893,120
  5. Step 5: Solve for x
    x = 294,159,990,645,893,120/249,238,506.50
  6. Step 6: Final answer
    x = 1,180,234,927.49

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.