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Finding the Third Proportional to 178,724,223 and 385,677,270

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Solution

The third proportional to 178,724,223 and 385,677,270 is: 832,270,825.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,724,223 : 385,677,270 = 385,677,270 : x
  2. Step 2: Convert to fraction form
    178,724,223/385,677,270 = 385,677,270/x
  3. Step 3: Cross multiply
    178,724,223x = 385,677,270 × 385,677,270
  4. Step 4: Simplify right side
    178,724,223x = 148,746,956,594,652,896
  5. Step 5: Solve for x
    x = 148,746,956,594,652,896/178,724,223
  6. Step 6: Final answer
    x = 832,270,825.40

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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.