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Finding the Third Proportional to 152,074,672 and 312,211,207

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Solution

The third proportional to 152,074,672 and 312,211,207 is: 640,973,519.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,074,672 : 312,211,207 = 312,211,207 : x
  2. Step 2: Convert to fraction form
    152,074,672/312,211,207 = 312,211,207/x
  3. Step 3: Cross multiply
    152,074,672x = 312,211,207 × 312,211,207
  4. Step 4: Simplify right side
    152,074,672x = 97,475,837,776,396,848
  5. Step 5: Solve for x
    x = 97,475,837,776,396,848/152,074,672
  6. Step 6: Final answer
    x = 640,973,519.75

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.