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Finding the Third Proportional to 98,887,945 and 145,474,053

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Solution

The third proportional to 98,887,945 and 145,474,053 is: 214,006,875.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,887,945 : 145,474,053 = 145,474,053 : x
  2. Step 2: Convert to fraction form
    98,887,945/145,474,053 = 145,474,053/x
  3. Step 3: Cross multiply
    98,887,945x = 145,474,053 × 145,474,053
  4. Step 4: Simplify right side
    98,887,945x = 21,162,700,096,246,808
  5. Step 5: Solve for x
    x = 21,162,700,096,246,808/98,887,945
  6. Step 6: Final answer
    x = 214,006,875.12

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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.