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Finding the Third Proportional to 96,547,652 and 211,461,402

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Solution

The third proportional to 96,547,652 and 211,461,402 is: 463,148,752.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,547,652 : 211,461,402 = 211,461,402 : x
  2. Step 2: Convert to fraction form
    96,547,652/211,461,402 = 211,461,402/x
  3. Step 3: Cross multiply
    96,547,652x = 211,461,402 × 211,461,402
  4. Step 4: Simplify right side
    96,547,652x = 44,715,924,535,805,600
  5. Step 5: Solve for x
    x = 44,715,924,535,805,600/96,547,652
  6. Step 6: Final answer
    x = 463,148,752.04

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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.