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Finding the Third Proportional to 102,979,533.75 and 155,426,972.25

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Solution

The third proportional to 102,979,533.75 and 155,426,972.25 is: 234,585,871.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,979,533.75 : 155,426,972.25 = 155,426,972.25 : x
  2. Step 2: Convert to fraction form
    102,979,533.75/155,426,972.25 = 155,426,972.25/x
  3. Step 3: Cross multiply
    102,979,533.75x = 155,426,972.25 × 155,426,972.25
  4. Step 4: Simplify right side
    102,979,533.75x = 24,157,543,702,802,272
  5. Step 5: Solve for x
    x = 24,157,543,702,802,272/102,979,533.75
  6. Step 6: Final answer
    x = 234,585,871.80

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.