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Finding the Third Proportional to 96,931.50 and 211,864.50

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Solution

The third proportional to 96,931.50 and 211,864.50 is: 463,075.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,931.50 : 211,864.50 = 211,864.50 : x
  2. Step 2: Convert to fraction form
    96,931.50/211,864.50 = 211,864.50/x
  3. Step 3: Cross multiply
    96,931.50x = 211,864.50 × 211,864.50
  4. Step 4: Simplify right side
    96,931.50x = 44,886,566,360.25
  5. Step 5: Solve for x
    x = 44,886,566,360.25/96,931.50
  6. Step 6: Final answer
    x = 463,075.12

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.