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Finding the Third Proportional to 229,151,688 and 468,892,832

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Solution

The third proportional to 229,151,688 and 468,892,832 is: 959,453,931.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,151,688 : 468,892,832 = 468,892,832 : x
  2. Step 2: Convert to fraction form
    229,151,688/468,892,832 = 468,892,832/x
  3. Step 3: Cross multiply
    229,151,688x = 468,892,832 × 468,892,832
  4. Step 4: Simplify right side
    229,151,688x = 219,860,487,900,980,224
  5. Step 5: Solve for x
    x = 219,860,487,900,980,224/229,151,688
  6. Step 6: Final answer
    x = 959,453,931.24

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.