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Finding the Third Proportional to 75,864,410 and 164,483,312

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Solution

The third proportional to 75,864,410 and 164,483,312 is: 356,619,921.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,864,410 : 164,483,312 = 164,483,312 : x
  2. Step 2: Convert to fraction form
    75,864,410/164,483,312 = 164,483,312/x
  3. Step 3: Cross multiply
    75,864,410x = 164,483,312 × 164,483,312
  4. Step 4: Simplify right side
    75,864,410x = 27,054,759,926,489,344
  5. Step 5: Solve for x
    x = 27,054,759,926,489,344/75,864,410
  6. Step 6: Final answer
    x = 356,619,921.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.