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Finding the Third Proportional to 89,896,386 and 193,436,367

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Solution

The third proportional to 89,896,386 and 193,436,367 is: 416,230,615.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,896,386 : 193,436,367 = 193,436,367 : x
  2. Step 2: Convert to fraction form
    89,896,386/193,436,367 = 193,436,367/x
  3. Step 3: Cross multiply
    89,896,386x = 193,436,367 × 193,436,367
  4. Step 4: Simplify right side
    89,896,386x = 37,417,628,078,158,688
  5. Step 5: Solve for x
    x = 37,417,628,078,158,688/89,896,386
  6. Step 6: Final answer
    x = 416,230,615.52

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.