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Finding the Third Proportional to 98,887,946 and 145,474,058

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Solution

The third proportional to 98,887,946 and 145,474,058 is: 214,006,887.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,887,946 : 145,474,058 = 145,474,058 : x
  2. Step 2: Convert to fraction form
    98,887,946/145,474,058 = 145,474,058/x
  3. Step 3: Cross multiply
    98,887,946x = 145,474,058 × 145,474,058
  4. Step 4: Simplify right side
    98,887,946x = 21,162,701,550,987,364
  5. Step 5: Solve for x
    x = 21,162,701,550,987,364/98,887,946
  6. Step 6: Final answer
    x = 214,006,887.66

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.