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Finding the Third Proportional to 102,018,988.05 and 218,592,324.42

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Solution

The third proportional to 102,018,988.05 and 218,592,324.42 is: 468,369,714.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,018,988.05 : 218,592,324.42 = 218,592,324.42 : x
  2. Step 2: Convert to fraction form
    102,018,988.05/218,592,324.42 = 218,592,324.42/x
  3. Step 3: Cross multiply
    102,018,988.05x = 218,592,324.42 × 218,592,324.42
  4. Step 4: Simplify right side
    102,018,988.05x = 47,782,604,296,160,440
  5. Step 5: Solve for x
    x = 47,782,604,296,160,440/102,018,988.05
  6. Step 6: Final answer
    x = 468,369,714.38

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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.