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Finding the Third Proportional to 98,182,810.13 and 213,603,804

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Solution

The third proportional to 98,182,810.13 and 213,603,804 is: 464,710,523.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,182,810.13 : 213,603,804 = 213,603,804 : x
  2. Step 2: Convert to fraction form
    98,182,810.13/213,603,804 = 213,603,804/x
  3. Step 3: Cross multiply
    98,182,810.13x = 213,603,804 × 213,603,804
  4. Step 4: Simplify right side
    98,182,810.13x = 45,626,585,083,270,416
  5. Step 5: Solve for x
    x = 45,626,585,083,270,416/98,182,810.13
  6. Step 6: Final answer
    x = 464,710,523.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.