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Finding the Third Proportional to 98,431,527 and 215,390,832

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Solution

The third proportional to 98,431,527 and 215,390,832 is: 471,324,705.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,431,527 : 215,390,832 = 215,390,832 : x
  2. Step 2: Convert to fraction form
    98,431,527/215,390,832 = 215,390,832/x
  3. Step 3: Cross multiply
    98,431,527x = 215,390,832 × 215,390,832
  4. Step 4: Simplify right side
    98,431,527x = 46,393,210,509,652,224
  5. Step 5: Solve for x
    x = 46,393,210,509,652,224/98,431,527
  6. Step 6: Final answer
    x = 471,324,705.85

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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.