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Finding the Third Proportional to 194,652,720 and 292,017,838.50

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Solution

The third proportional to 194,652,720 and 292,017,838.50 is: 438,084,903.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,652,720 : 292,017,838.50 = 292,017,838.50 : x
  2. Step 2: Convert to fraction form
    194,652,720/292,017,838.50 = 292,017,838.50/x
  3. Step 3: Cross multiply
    194,652,720x = 292,017,838.50 × 292,017,838.50
  4. Step 4: Simplify right side
    194,652,720x = 85,274,418,002,212,080
  5. Step 5: Solve for x
    x = 85,274,418,002,212,080/194,652,720
  6. Step 6: Final answer
    x = 438,084,903.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.