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Finding the Third Proportional to 165,569,292 and 348,299,964

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Solution

The third proportional to 165,569,292 and 348,299,964 is: 732,701,477.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,569,292 : 348,299,964 = 348,299,964 : x
  2. Step 2: Convert to fraction form
    165,569,292/348,299,964 = 348,299,964/x
  3. Step 3: Cross multiply
    165,569,292x = 348,299,964 × 348,299,964
  4. Step 4: Simplify right side
    165,569,292x = 121,312,864,922,401,296
  5. Step 5: Solve for x
    x = 121,312,864,922,401,296/165,569,292
  6. Step 6: Final answer
    x = 732,701,477.77

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.