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Finding the Third Proportional to 47,851,136 and 104,965,594

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Solution

The third proportional to 47,851,136 and 104,965,594 is: 230,251,083.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,851,136 : 104,965,594 = 104,965,594 : x
  2. Step 2: Convert to fraction form
    47,851,136/104,965,594 = 104,965,594/x
  3. Step 3: Cross multiply
    47,851,136x = 104,965,594 × 104,965,594
  4. Step 4: Simplify right side
    47,851,136x = 11,017,775,923,772,836
  5. Step 5: Solve for x
    x = 11,017,775,923,772,836/47,851,136
  6. Step 6: Final answer
    x = 230,251,083.77

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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.