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Finding the Third Proportional to 64,602,932.06 and 99,299,163.09

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Solution

The third proportional to 64,602,932.06 and 99,299,163.09 is: 152,629,663.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,602,932.06 : 99,299,163.09 = 99,299,163.09 : x
  2. Step 2: Convert to fraction form
    64,602,932.06/99,299,163.09 = 99,299,163.09/x
  3. Step 3: Cross multiply
    64,602,932.06x = 99,299,163.09 × 99,299,163.09
  4. Step 4: Simplify right side
    64,602,932.06x = 9,860,323,791,119,162
  5. Step 5: Solve for x
    x = 9,860,323,791,119,162/64,602,932.06
  6. Step 6: Final answer
    x = 152,629,663.64

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.