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Finding the Third Proportional to 65,915,930 and 96,514,215

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Solution

The third proportional to 65,915,930 and 96,514,215 is: 141,316,275.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,915,930 : 96,514,215 = 96,514,215 : x
  2. Step 2: Convert to fraction form
    65,915,930/96,514,215 = 96,514,215/x
  3. Step 3: Cross multiply
    65,915,930x = 96,514,215 × 96,514,215
  4. Step 4: Simplify right side
    65,915,930x = 9,314,993,697,066,224
  5. Step 5: Solve for x
    x = 9,314,993,697,066,224/65,915,930
  6. Step 6: Final answer
    x = 141,316,275.10

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.