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Finding the Third Proportional to 42,779,259 and 92,376,894

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Solution

The third proportional to 42,779,259 and 92,376,894 is: 199,477,287.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,779,259 : 92,376,894 = 92,376,894 : x
  2. Step 2: Convert to fraction form
    42,779,259/92,376,894 = 92,376,894/x
  3. Step 3: Cross multiply
    42,779,259x = 92,376,894 × 92,376,894
  4. Step 4: Simplify right side
    42,779,259x = 8,533,490,545,087,236
  5. Step 5: Solve for x
    x = 8,533,490,545,087,236/42,779,259
  6. Step 6: Final answer
    x = 199,477,287.47

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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.