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Finding the Third Proportional to 165,478,711 and 266,630,284.50

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Solution

The third proportional to 165,478,711 and 266,630,284.50 is: 429,612,414.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,478,711 : 266,630,284.50 = 266,630,284.50 : x
  2. Step 2: Convert to fraction form
    165,478,711/266,630,284.50 = 266,630,284.50/x
  3. Step 3: Cross multiply
    165,478,711x = 266,630,284.50 × 266,630,284.50
  4. Step 4: Simplify right side
    165,478,711x = 71,091,708,612,550,944
  5. Step 5: Solve for x
    x = 71,091,708,612,550,944/165,478,711
  6. Step 6: Final answer
    x = 429,612,414.69

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.