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Finding the Third Proportional to 230,528,190 and 354,119,490

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Solution

The third proportional to 230,528,190 and 354,119,490 is: 543,970,840.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,528,190 : 354,119,490 = 354,119,490 : x
  2. Step 2: Convert to fraction form
    230,528,190/354,119,490 = 354,119,490/x
  3. Step 3: Cross multiply
    230,528,190x = 354,119,490 × 354,119,490
  4. Step 4: Simplify right side
    230,528,190x = 125,400,613,197,860,096
  5. Step 5: Solve for x
    x = 125,400,613,197,860,096/230,528,190
  6. Step 6: Final answer
    x = 543,970,840.17

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.