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Finding the Third Proportional to 42,779,304 and 92,376,984

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Solution

The third proportional to 42,779,304 and 92,376,984 is: 199,477,466.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,779,304 : 92,376,984 = 92,376,984 : x
  2. Step 2: Convert to fraction form
    42,779,304/92,376,984 = 92,376,984/x
  3. Step 3: Cross multiply
    42,779,304x = 92,376,984 × 92,376,984
  4. Step 4: Simplify right side
    42,779,304x = 8,533,507,172,936,256
  5. Step 5: Solve for x
    x = 8,533,507,172,936,256/42,779,304
  6. Step 6: Final answer
    x = 199,477,466.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.