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Finding the Third Proportional to 53,670,005.16 and 117,883,639.83

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Solution

The third proportional to 53,670,005.16 and 117,883,639.83 is: 258,925,865.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,670,005.16 : 117,883,639.83 = 117,883,639.83 : x
  2. Step 2: Convert to fraction form
    53,670,005.16/117,883,639.83 = 117,883,639.83/x
  3. Step 3: Cross multiply
    53,670,005.16x = 117,883,639.83 × 117,883,639.83
  4. Step 4: Simplify right side
    53,670,005.16x = 13,896,552,539,125,918
  5. Step 5: Solve for x
    x = 13,896,552,539,125,918/53,670,005.16
  6. Step 6: Final answer
    x = 258,925,865.55

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.