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Finding the Third Proportional to 190,356,346 and 256,835,403

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Solution

The third proportional to 190,356,346 and 256,835,403 is: 346,531,258.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,356,346 : 256,835,403 = 256,835,403 : x
  2. Step 2: Convert to fraction form
    190,356,346/256,835,403 = 256,835,403/x
  3. Step 3: Cross multiply
    190,356,346x = 256,835,403 × 256,835,403
  4. Step 4: Simplify right side
    190,356,346x = 65,964,424,234,172,408
  5. Step 5: Solve for x
    x = 65,964,424,234,172,408/190,356,346
  6. Step 6: Final answer
    x = 346,531,258.98

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.