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Finding the Third Proportional to 98,253 and 210,513.94

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Solution

The third proportional to 98,253 and 210,513.94 is: 451,040.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,253 : 210,513.94 = 210,513.94 : x
  2. Step 2: Convert to fraction form
    98,253/210,513.94 = 210,513.94/x
  3. Step 3: Cross multiply
    98,253x = 210,513.94 × 210,513.94
  4. Step 4: Simplify right side
    98,253x = 44,316,117,881.75
  5. Step 5: Solve for x
    x = 44,316,117,881.75/98,253
  6. Step 6: Final answer
    x = 451,040.86

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.