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Finding the Third Proportional to 113,800,203 and 162,618,064.50

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Solution

The third proportional to 113,800,203 and 162,618,064.50 is: 232,377,748.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,800,203 : 162,618,064.50 = 162,618,064.50 : x
  2. Step 2: Convert to fraction form
    113,800,203/162,618,064.50 = 162,618,064.50/x
  3. Step 3: Cross multiply
    113,800,203x = 162,618,064.50 × 162,618,064.50
  4. Step 4: Simplify right side
    113,800,203x = 26,444,634,901,726,160
  5. Step 5: Solve for x
    x = 26,444,634,901,726,160/113,800,203
  6. Step 6: Final answer
    x = 232,377,748.06

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.