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Finding the Third Proportional to 47,773,215 and 104,488,157

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Solution

The third proportional to 47,773,215 and 104,488,157 is: 228,533,393.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,773,215 : 104,488,157 = 104,488,157 : x
  2. Step 2: Convert to fraction form
    47,773,215/104,488,157 = 104,488,157/x
  3. Step 3: Cross multiply
    47,773,215x = 104,488,157 × 104,488,157
  4. Step 4: Simplify right side
    47,773,215x = 10,917,774,953,256,648
  5. Step 5: Solve for x
    x = 10,917,774,953,256,648/47,773,215
  6. Step 6: Final answer
    x = 228,533,393.73

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.