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Finding the Third Proportional to 102,676,562,260 and 219,483,510,850

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Solution

The third proportional to 102,676,562,260 and 219,483,510,850 is: 469,172,423,333.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,676,562,260 : 219,483,510,850 = 219,483,510,850 : x
  2. Step 2: Convert to fraction form
    102,676,562,260/219,483,510,850 = 219,483,510,850/x
  3. Step 3: Cross multiply
    102,676,562,260x = 219,483,510,850 × 219,483,510,850
  4. Step 4: Simplify right side
    102,676,562,260x = 48,173,011,535,042,067,824,640
  5. Step 5: Solve for x
    x = 48,173,011,535,042,067,824,640/102,676,562,260
  6. Step 6: Final answer
    x = 469,172,423,333.16

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.