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Finding the Third Proportional to 147,314,613.94 and 204,829,195.50

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Solution

The third proportional to 147,314,613.94 and 204,829,195.50 is: 284,798,623.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,314,613.94 : 204,829,195.50 = 204,829,195.50 : x
  2. Step 2: Convert to fraction form
    147,314,613.94/204,829,195.50 = 204,829,195.50/x
  3. Step 3: Cross multiply
    147,314,613.94x = 204,829,195.50 × 204,829,195.50
  4. Step 4: Simplify right side
    147,314,613.94x = 41,954,999,329,177,224
  5. Step 5: Solve for x
    x = 41,954,999,329,177,224/147,314,613.94
  6. Step 6: Final answer
    x = 284,798,623.90

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.