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Finding the Third Proportional to 257,918,350.50 and 544,948,101

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Solution

The third proportional to 257,918,350.50 and 544,948,101 is: 1,151,404,823.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,918,350.50 : 544,948,101 = 544,948,101 : x
  2. Step 2: Convert to fraction form
    257,918,350.50/544,948,101 = 544,948,101/x
  3. Step 3: Cross multiply
    257,918,350.50x = 544,948,101 × 544,948,101
  4. Step 4: Simplify right side
    257,918,350.50x = 296,968,432,783,506,176
  5. Step 5: Solve for x
    x = 296,968,432,783,506,176/257,918,350.50
  6. Step 6: Final answer
    x = 1,151,404,823.30

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.