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Finding the Third Proportional to 107,740,999 and 154,069,812.50

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Solution

The third proportional to 107,740,999 and 154,069,812.50 is: 220,320,094.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,740,999 : 154,069,812.50 = 154,069,812.50 : x
  2. Step 2: Convert to fraction form
    107,740,999/154,069,812.50 = 154,069,812.50/x
  3. Step 3: Cross multiply
    107,740,999x = 154,069,812.50 × 154,069,812.50
  4. Step 4: Simplify right side
    107,740,999x = 23,737,507,123,785,156
  5. Step 5: Solve for x
    x = 23,737,507,123,785,156/107,740,999
  6. Step 6: Final answer
    x = 220,320,094.90

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.