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Finding the Third Proportional to 243,210,194,200 and 523,022,686,304

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Solution

The third proportional to 243,210,194,200 and 523,022,686,304 is: 1,124,758,488,386.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,210,194,200 : 523,022,686,304 = 523,022,686,304 : x
  2. Step 2: Convert to fraction form
    243,210,194,200/523,022,686,304 = 523,022,686,304/x
  3. Step 3: Cross multiply
    243,210,194,200x = 523,022,686,304 × 523,022,686,304
  4. Step 4: Simplify right side
    243,210,194,200x = 273,552,730,388,652,391,137,280
  5. Step 5: Solve for x
    x = 273,552,730,388,652,391,137,280/243,210,194,200
  6. Step 6: Final answer
    x = 1,124,758,488,386.80

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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.