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Finding the Third Proportional to 233,176,437 and 498,637,914.75

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Solution

The third proportional to 233,176,437 and 498,637,914.75 is: 1,066,316,019.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,176,437 : 498,637,914.75 = 498,637,914.75 : x
  2. Step 2: Convert to fraction form
    233,176,437/498,637,914.75 = 498,637,914.75/x
  3. Step 3: Cross multiply
    233,176,437x = 498,637,914.75 × 498,637,914.75
  4. Step 4: Simplify right side
    233,176,437x = 248,639,770,026,228,256
  5. Step 5: Solve for x
    x = 248,639,770,026,228,256/233,176,437
  6. Step 6: Final answer
    x = 1,066,316,019.00

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.