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Finding the Third Proportional to 96,547,647 and 211,461,393

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Solution

The third proportional to 96,547,647 and 211,461,393 is: 463,148,736.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,547,647 : 211,461,393 = 211,461,393 : x
  2. Step 2: Convert to fraction form
    96,547,647/211,461,393 = 211,461,393/x
  3. Step 3: Cross multiply
    96,547,647x = 211,461,393 × 211,461,393
  4. Step 4: Simplify right side
    96,547,647x = 44,715,920,729,500,448
  5. Step 5: Solve for x
    x = 44,715,920,729,500,448/96,547,647
  6. Step 6: Final answer
    x = 463,148,736.60

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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.