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Finding the Third Proportional to 152,074,463 and 312,210,851

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Solution

The third proportional to 152,074,463 and 312,210,851 is: 640,972,938.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,074,463 : 312,210,851 = 312,210,851 : x
  2. Step 2: Convert to fraction form
    152,074,463/312,210,851 = 312,210,851/x
  3. Step 3: Cross multiply
    152,074,463x = 312,210,851 × 312,210,851
  4. Step 4: Simplify right side
    152,074,463x = 97,475,615,482,144,208
  5. Step 5: Solve for x
    x = 97,475,615,482,144,208/152,074,463
  6. Step 6: Final answer
    x = 640,972,938.91

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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.