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Finding the Third Proportional to 38,209,104 and 83,924,541

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Solution

The third proportional to 38,209,104 and 83,924,541 is: 184,336,397.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,209,104 : 83,924,541 = 83,924,541 : x
  2. Step 2: Convert to fraction form
    38,209,104/83,924,541 = 83,924,541/x
  3. Step 3: Cross multiply
    38,209,104x = 83,924,541 × 83,924,541
  4. Step 4: Simplify right side
    38,209,104x = 7,043,328,582,060,681
  5. Step 5: Solve for x
    x = 7,043,328,582,060,681/38,209,104
  6. Step 6: Final answer
    x = 184,336,397.47

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.