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Finding the Third Proportional to 200,739,068.44 and 306,878,314.50

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Solution

The third proportional to 200,739,068.44 and 306,878,314.50 is: 469,137,874.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,739,068.44 : 306,878,314.50 = 306,878,314.50 : x
  2. Step 2: Convert to fraction form
    200,739,068.44/306,878,314.50 = 306,878,314.50/x
  3. Step 3: Cross multiply
    200,739,068.44x = 306,878,314.50 × 306,878,314.50
  4. Step 4: Simplify right side
    200,739,068.44x = 94,174,299,910,360,912
  5. Step 5: Solve for x
    x = 94,174,299,910,360,912/200,739,068.44
  6. Step 6: Final answer
    x = 469,137,874.57

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.