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Finding the Third Proportional to 238,318,994 and 514,259,532

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Solution

The third proportional to 238,318,994 and 514,259,532 is: 1,109,701,169.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,318,994 : 514,259,532 = 514,259,532 : x
  2. Step 2: Convert to fraction form
    238,318,994/514,259,532 = 514,259,532/x
  3. Step 3: Cross multiply
    238,318,994x = 514,259,532 × 514,259,532
  4. Step 4: Simplify right side
    238,318,994x = 264,462,866,252,859,008
  5. Step 5: Solve for x
    x = 264,462,866,252,859,008/238,318,994
  6. Step 6: Final answer
    x = 1,109,701,169.07

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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.