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Finding the Third Proportional to 102,006,544 and 153,308,772

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Solution

The third proportional to 102,006,544 and 153,308,772 is: 230,412,468.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,006,544 : 153,308,772 = 153,308,772 : x
  2. Step 2: Convert to fraction form
    102,006,544/153,308,772 = 153,308,772/x
  3. Step 3: Cross multiply
    102,006,544x = 153,308,772 × 153,308,772
  4. Step 4: Simplify right side
    102,006,544x = 23,503,579,572,147,984
  5. Step 5: Solve for x
    x = 23,503,579,572,147,984/102,006,544
  6. Step 6: Final answer
    x = 230,412,468.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.