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Finding the Third Proportional to 65,096,840 and 139,253,813

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Solution

The third proportional to 65,096,840 and 139,253,813 is: 297,888,875.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,096,840 : 139,253,813 = 139,253,813 : x
  2. Step 2: Convert to fraction form
    65,096,840/139,253,813 = 139,253,813/x
  3. Step 3: Cross multiply
    65,096,840x = 139,253,813 × 139,253,813
  4. Step 4: Simplify right side
    65,096,840x = 19,391,624,435,038,968
  5. Step 5: Solve for x
    x = 19,391,624,435,038,968/65,096,840
  6. Step 6: Final answer
    x = 297,888,875.02

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.