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Finding the Third Proportional to 205,477,960,074 and 314,358,271,581

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Solution

The third proportional to 205,477,960,074 and 314,358,271,581 is: 480,932,956,876.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,477,960,074 : 314,358,271,581 = 314,358,271,581 : x
  2. Step 2: Convert to fraction form
    205,477,960,074/314,358,271,581 = 314,358,271,581/x
  3. Step 3: Cross multiply
    205,477,960,074x = 314,358,271,581 × 314,358,271,581
  4. Step 4: Simplify right side
    205,477,960,074x = 98,821,122,911,393,745,469,440
  5. Step 5: Solve for x
    x = 98,821,122,911,393,745,469,440/205,477,960,074
  6. Step 6: Final answer
    x = 480,932,956,876.76

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.