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Finding the Third Proportional to 46,065,624 and 98,419,968

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Solution

The third proportional to 46,065,624 and 98,419,968 is: 210,275,890.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,065,624 : 98,419,968 = 98,419,968 : x
  2. Step 2: Convert to fraction form
    46,065,624/98,419,968 = 98,419,968/x
  3. Step 3: Cross multiply
    46,065,624x = 98,419,968 × 98,419,968
  4. Step 4: Simplify right side
    46,065,624x = 9,686,490,101,121,024
  5. Step 5: Solve for x
    x = 9,686,490,101,121,024/46,065,624
  6. Step 6: Final answer
    x = 210,275,890.35

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.