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Finding the Third Proportional to 117,999,571 and 185,106,341

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Solution

The third proportional to 117,999,571 and 185,106,341 is: 290,376,966.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,999,571 : 185,106,341 = 185,106,341 : x
  2. Step 2: Convert to fraction form
    117,999,571/185,106,341 = 185,106,341/x
  3. Step 3: Cross multiply
    117,999,571x = 185,106,341 × 185,106,341
  4. Step 4: Simplify right side
    117,999,571x = 34,264,357,478,408,280
  5. Step 5: Solve for x
    x = 34,264,357,478,408,280/117,999,571
  6. Step 6: Final answer
    x = 290,376,966.53

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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.