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Finding the Third Proportional to 223,211.95 and 468,536.91

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Solution

The third proportional to 223,211.95 and 468,536.91 is: 983,490.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,211.95 : 468,536.91 = 468,536.91 : x
  2. Step 2: Convert to fraction form
    223,211.95/468,536.91 = 468,536.91/x
  3. Step 3: Cross multiply
    223,211.95x = 468,536.91 × 468,536.91
  4. Step 4: Simplify right side
    223,211.95x = 219,526,832,518.32
  5. Step 5: Solve for x
    x = 219,526,832,518.32/223,211.95
  6. Step 6: Final answer
    x = 983,490.49

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.