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Finding the Third Proportional to 202,097,768 and 444,506,320

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Solution

The third proportional to 202,097,768 and 444,506,320 is: 977,674,669.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,097,768 : 444,506,320 = 444,506,320 : x
  2. Step 2: Convert to fraction form
    202,097,768/444,506,320 = 444,506,320/x
  3. Step 3: Cross multiply
    202,097,768x = 444,506,320 × 444,506,320
  4. Step 4: Simplify right side
    202,097,768x = 197,585,868,519,942,400
  5. Step 5: Solve for x
    x = 197,585,868,519,942,400/202,097,768
  6. Step 6: Final answer
    x = 977,674,669.42

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.