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Finding the Third Proportional to 50,270,985 and 108,477,769.50

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Solution

The third proportional to 50,270,985 and 108,477,769.50 is: 234,079,886.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,270,985 : 108,477,769.50 = 108,477,769.50 : x
  2. Step 2: Convert to fraction form
    50,270,985/108,477,769.50 = 108,477,769.50/x
  3. Step 3: Cross multiply
    50,270,985x = 108,477,769.50 × 108,477,769.50
  4. Step 4: Simplify right side
    50,270,985x = 11,767,426,475,695,130
  5. Step 5: Solve for x
    x = 11,767,426,475,695,130/50,270,985
  6. Step 6: Final answer
    x = 234,079,886.75

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.