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Finding the Third Proportional to 194,794,304 and 428,547,004

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Solution

The third proportional to 194,794,304 and 428,547,004 is: 942,802,386.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,794,304 : 428,547,004 = 428,547,004 : x
  2. Step 2: Convert to fraction form
    194,794,304/428,547,004 = 428,547,004/x
  3. Step 3: Cross multiply
    194,794,304x = 428,547,004 × 428,547,004
  4. Step 4: Simplify right side
    194,794,304x = 183,652,534,637,376,000
  5. Step 5: Solve for x
    x = 183,652,534,637,376,000/194,794,304
  6. Step 6: Final answer
    x = 942,802,386.24

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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.