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Finding the Third Proportional to 283,216,213 and 437,401,999.50

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Solution

The third proportional to 283,216,213 and 437,401,999.50 is: 675,528,096.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,216,213 : 437,401,999.50 = 437,401,999.50 : x
  2. Step 2: Convert to fraction form
    283,216,213/437,401,999.50 = 437,401,999.50/x
  3. Step 3: Cross multiply
    283,216,213x = 437,401,999.50 × 437,401,999.50
  4. Step 4: Simplify right side
    283,216,213x = 191,320,509,166,598,016
  5. Step 5: Solve for x
    x = 191,320,509,166,598,016/283,216,213
  6. Step 6: Final answer
    x = 675,528,096.15

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.