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Finding the Third Proportional to 308,938,656 and 466,280,995.50

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Solution

The third proportional to 308,938,656 and 466,280,995.50 is: 703,757,728.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,938,656 : 466,280,995.50 = 466,280,995.50 : x
  2. Step 2: Convert to fraction form
    308,938,656/466,280,995.50 = 466,280,995.50/x
  3. Step 3: Cross multiply
    308,938,656x = 466,280,995.50 × 466,280,995.50
  4. Step 4: Simplify right side
    308,938,656x = 217,417,966,764,471,008
  5. Step 5: Solve for x
    x = 217,417,966,764,471,008/308,938,656
  6. Step 6: Final answer
    x = 703,757,728.41

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Why These Related Problems?

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