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Finding the Third Proportional to 345,139,320 and 466,457,356.50

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Solution

The third proportional to 345,139,320 and 466,457,356.50 is: 630,419,233.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,139,320 : 466,457,356.50 = 466,457,356.50 : x
  2. Step 2: Convert to fraction form
    345,139,320/466,457,356.50 = 466,457,356.50/x
  3. Step 3: Cross multiply
    345,139,320x = 466,457,356.50 × 466,457,356.50
  4. Step 4: Simplify right side
    345,139,320x = 217,582,465,432,968,096
  5. Step 5: Solve for x
    x = 217,582,465,432,968,096/345,139,320
  6. Step 6: Final answer
    x = 630,419,233.12

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.