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Finding the Third Proportional to 52,963,657.50 and 112,227,696.75

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Solution

The third proportional to 52,963,657.50 and 112,227,696.75 is: 237,805,629.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,963,657.50 : 112,227,696.75 = 112,227,696.75 : x
  2. Step 2: Convert to fraction form
    52,963,657.50/112,227,696.75 = 112,227,696.75/x
  3. Step 3: Cross multiply
    52,963,657.50x = 112,227,696.75 × 112,227,696.75
  4. Step 4: Simplify right side
    52,963,657.50x = 12,595,055,917,809,960
  5. Step 5: Solve for x
    x = 12,595,055,917,809,960/52,963,657.50
  6. Step 6: Final answer
    x = 237,805,629.60

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.