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Finding the Third Proportional to 99,685,585,030 and 214,490,329,782

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Solution

The third proportional to 99,685,585,030 and 214,490,329,782 is: 461,512,078,763.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,685,585,030 : 214,490,329,782 = 214,490,329,782 : x
  2. Step 2: Convert to fraction form
    99,685,585,030/214,490,329,782 = 214,490,329,782/x
  3. Step 3: Cross multiply
    99,685,585,030x = 214,490,329,782 × 214,490,329,782
  4. Step 4: Simplify right side
    99,685,585,030x = 46,006,101,569,991,117,635,584
  5. Step 5: Solve for x
    x = 46,006,101,569,991,117,635,584/99,685,585,030
  6. Step 6: Final answer
    x = 461,512,078,763.90

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.