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Finding the Third Proportional to 178,724,316 and 385,677,457

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Solution

The third proportional to 178,724,316 and 385,677,457 is: 832,271,199.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,724,316 : 385,677,457 = 385,677,457 : x
  2. Step 2: Convert to fraction form
    178,724,316/385,677,457 = 385,677,457/x
  3. Step 3: Cross multiply
    178,724,316x = 385,677,457 × 385,677,457
  4. Step 4: Simplify right side
    178,724,316x = 148,747,100,837,986,848
  5. Step 5: Solve for x
    x = 148,747,100,837,986,848/178,724,316
  6. Step 6: Final answer
    x = 832,271,199.39

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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.