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Finding the Third Proportional to 102,018,989 and 218,592,326.50

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Solution

The third proportional to 102,018,989 and 218,592,326.50 is: 468,369,718.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,018,989 : 218,592,326.50 = 218,592,326.50 : x
  2. Step 2: Convert to fraction form
    102,018,989/218,592,326.50 = 218,592,326.50/x
  3. Step 3: Cross multiply
    102,018,989x = 218,592,326.50 × 218,592,326.50
  4. Step 4: Simplify right side
    102,018,989x = 47,782,605,204,682,600
  5. Step 5: Solve for x
    x = 47,782,605,204,682,600/102,018,989
  6. Step 6: Final answer
    x = 468,369,718.94

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.