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Finding the Third Proportional to 64,167,063.47 and 138,562,999.31

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Solution

The third proportional to 64,167,063.47 and 138,562,999.31 is: 299,214,328.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,167,063.47 : 138,562,999.31 = 138,562,999.31 : x
  2. Step 2: Convert to fraction form
    64,167,063.47/138,562,999.31 = 138,562,999.31/x
  3. Step 3: Cross multiply
    64,167,063.47x = 138,562,999.31 × 138,562,999.31
  4. Step 4: Simplify right side
    64,167,063.47x = 19,199,704,778,475,876
  5. Step 5: Solve for x
    x = 19,199,704,778,475,876/64,167,063.47
  6. Step 6: Final answer
    x = 299,214,328.05

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.