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Finding the Third Proportional to 159,642,393.75 and 344,203,465.50

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Solution

The third proportional to 159,642,393.75 and 344,203,465.50 is: 742,133,858.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,642,393.75 : 344,203,465.50 = 344,203,465.50 : x
  2. Step 2: Convert to fraction form
    159,642,393.75/344,203,465.50 = 344,203,465.50/x
  3. Step 3: Cross multiply
    159,642,393.75x = 344,203,465.50 × 344,203,465.50
  4. Step 4: Simplify right side
    159,642,393.75x = 118,476,025,662,209,696
  5. Step 5: Solve for x
    x = 118,476,025,662,209,696/159,642,393.75
  6. Step 6: Final answer
    x = 742,133,858.55

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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.