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Finding the Third Proportional to 98,431,526 and 215,390,830

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Solution

The third proportional to 98,431,526 and 215,390,830 is: 471,324,701.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,431,526 : 215,390,830 = 215,390,830 : x
  2. Step 2: Convert to fraction form
    98,431,526/215,390,830 = 215,390,830/x
  3. Step 3: Cross multiply
    98,431,526x = 215,390,830 × 215,390,830
  4. Step 4: Simplify right side
    98,431,526x = 46,393,209,648,088,896
  5. Step 5: Solve for x
    x = 46,393,209,648,088,896/98,431,526
  6. Step 6: Final answer
    x = 471,324,701.89

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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.