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Finding the Third Proportional to 70,333,440 and 148,224,000

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Solution

The third proportional to 70,333,440 and 148,224,000 is: 312,374,230.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,333,440 : 148,224,000 = 148,224,000 : x
  2. Step 2: Convert to fraction form
    70,333,440/148,224,000 = 148,224,000/x
  3. Step 3: Cross multiply
    70,333,440x = 148,224,000 × 148,224,000
  4. Step 4: Simplify right side
    70,333,440x = 21,970,354,176,000,000
  5. Step 5: Solve for x
    x = 21,970,354,176,000,000/70,333,440
  6. Step 6: Final answer
    x = 312,374,230.18

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.