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Finding the Third Proportional to 232,483,763,910 and 363,900,587,196

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Solution

The third proportional to 232,483,763,910 and 363,900,587,196 is: 569,603,808,603.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,483,763,910 : 363,900,587,196 = 363,900,587,196 : x
  2. Step 2: Convert to fraction form
    232,483,763,910/363,900,587,196 = 363,900,587,196/x
  3. Step 3: Cross multiply
    232,483,763,910x = 363,900,587,196 × 363,900,587,196
  4. Step 4: Simplify right side
    232,483,763,910x = 132,423,637,361,593,604,374,528
  5. Step 5: Solve for x
    x = 132,423,637,361,593,604,374,528/232,483,763,910
  6. Step 6: Final answer
    x = 569,603,808,603.42

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.