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Finding the Third Proportional to 178,724,316 and 385,677,454.50

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Solution

The third proportional to 178,724,316 and 385,677,454.50 is: 832,271,188.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,724,316 : 385,677,454.50 = 385,677,454.50 : x
  2. Step 2: Convert to fraction form
    178,724,316/385,677,454.50 = 385,677,454.50/x
  3. Step 3: Cross multiply
    178,724,316x = 385,677,454.50 × 385,677,454.50
  4. Step 4: Simplify right side
    178,724,316x = 148,747,098,909,599,584
  5. Step 5: Solve for x
    x = 148,747,098,909,599,584/178,724,316
  6. Step 6: Final answer
    x = 832,271,188.60

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.