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Finding the Third Proportional to 255,205,166 and 559,818,602

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Solution

The third proportional to 255,205,166 and 559,818,602 is: 1,228,019,291.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,205,166 : 559,818,602 = 559,818,602 : x
  2. Step 2: Convert to fraction form
    255,205,166/559,818,602 = 559,818,602/x
  3. Step 3: Cross multiply
    255,205,166x = 559,818,602 × 559,818,602
  4. Step 4: Simplify right side
    255,205,166x = 313,396,867,145,234,432
  5. Step 5: Solve for x
    x = 313,396,867,145,234,432/255,205,166
  6. Step 6: Final answer
    x = 1,228,019,291.53

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.