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Finding the Third Proportional to 198,842,217,528 and 436,181,312,400

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Solution

The third proportional to 198,842,217,528 and 436,181,312,400 is: 956,809,573,199.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,842,217,528 : 436,181,312,400 = 436,181,312,400 : x
  2. Step 2: Convert to fraction form
    198,842,217,528/436,181,312,400 = 436,181,312,400/x
  3. Step 3: Cross multiply
    198,842,217,528x = 436,181,312,400 × 436,181,312,400
  4. Step 4: Simplify right side
    198,842,217,528x = 190,254,137,286,986,389,520,384
  5. Step 5: Solve for x
    x = 190,254,137,286,986,389,520,384/198,842,217,528
  6. Step 6: Final answer
    x = 956,809,573,199.39

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.