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Finding the Third Proportional to 49,963,594.50 and 111,415,263.75

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Solution

The third proportional to 49,963,594.50 and 111,415,263.75 is: 248,448,117.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,963,594.50 : 111,415,263.75 = 111,415,263.75 : x
  2. Step 2: Convert to fraction form
    49,963,594.50/111,415,263.75 = 111,415,263.75/x
  3. Step 3: Cross multiply
    49,963,594.50x = 111,415,263.75 × 111,415,263.75
  4. Step 4: Simplify right side
    49,963,594.50x = 12,413,360,996,482,064
  5. Step 5: Solve for x
    x = 12,413,360,996,482,064/49,963,594.50
  6. Step 6: Final answer
    x = 248,448,117.49

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.