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Finding the Third Proportional to 42,945,323.63 and 92,698,809.75

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Solution

The third proportional to 42,945,323.63 and 92,698,809.75 is: 200,093,248.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,945,323.63 : 92,698,809.75 = 92,698,809.75 : x
  2. Step 2: Convert to fraction form
    42,945,323.63/92,698,809.75 = 92,698,809.75/x
  3. Step 3: Cross multiply
    42,945,323.63x = 92,698,809.75 × 92,698,809.75
  4. Step 4: Simplify right side
    42,945,323.63x = 8,593,069,329,066,695
  5. Step 5: Solve for x
    x = 8,593,069,329,066,695/42,945,323.63
  6. Step 6: Final answer
    x = 200,093,248.90

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