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Finding the Third Proportional to 186,470,544 and 291,871,344

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Solution

The third proportional to 186,470,544 and 291,871,344 is: 456,848,999.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,470,544 : 291,871,344 = 291,871,344 : x
  2. Step 2: Convert to fraction form
    186,470,544/291,871,344 = 291,871,344/x
  3. Step 3: Cross multiply
    186,470,544x = 291,871,344 × 291,871,344
  4. Step 4: Simplify right side
    186,470,544x = 85,188,881,448,366,336
  5. Step 5: Solve for x
    x = 85,188,881,448,366,336/186,470,544
  6. Step 6: Final answer
    x = 456,848,999.42

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.