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Finding the Third Proportional to 97,004,464 and 146,513,818

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Solution

The third proportional to 97,004,464 and 146,513,818 is: 221,291,866.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,004,464 : 146,513,818 = 146,513,818 : x
  2. Step 2: Convert to fraction form
    97,004,464/146,513,818 = 146,513,818/x
  3. Step 3: Cross multiply
    97,004,464x = 146,513,818 × 146,513,818
  4. Step 4: Simplify right side
    97,004,464x = 21,466,298,864,937,124
  5. Step 5: Solve for x
    x = 21,466,298,864,937,124/97,004,464
  6. Step 6: Final answer
    x = 221,291,866.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.