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Finding the Third Proportional to 47,772,223 and 97,549,598

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Solution

The third proportional to 47,772,223 and 97,549,598 is: 199,193,662.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,772,223 : 97,549,598 = 97,549,598 : x
  2. Step 2: Convert to fraction form
    47,772,223/97,549,598 = 97,549,598/x
  3. Step 3: Cross multiply
    47,772,223x = 97,549,598 × 97,549,598
  4. Step 4: Simplify right side
    47,772,223x = 9,515,924,069,961,604
  5. Step 5: Solve for x
    x = 9,515,924,069,961,604/47,772,223
  6. Step 6: Final answer
    x = 199,193,662.60

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.