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Finding the Third Proportional to 92,500,818.75 and 205,683,360

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Solution

The third proportional to 92,500,818.75 and 205,683,360 is: 457,354,271.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,500,818.75 : 205,683,360 = 205,683,360 : x
  2. Step 2: Convert to fraction form
    92,500,818.75/205,683,360 = 205,683,360/x
  3. Step 3: Cross multiply
    92,500,818.75x = 205,683,360 × 205,683,360
  4. Step 4: Simplify right side
    92,500,818.75x = 42,305,644,580,889,600
  5. Step 5: Solve for x
    x = 42,305,644,580,889,600/92,500,818.75
  6. Step 6: Final answer
    x = 457,354,271.59

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.