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Finding the Third Proportional to 114,792,007.78 and 174,313,809.84

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Solution

The third proportional to 114,792,007.78 and 174,313,809.84 is: 264,698,779.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,792,007.78 : 174,313,809.84 = 174,313,809.84 : x
  2. Step 2: Convert to fraction form
    114,792,007.78/174,313,809.84 = 174,313,809.84/x
  3. Step 3: Cross multiply
    114,792,007.78x = 174,313,809.84 × 174,313,809.84
  4. Step 4: Simplify right side
    114,792,007.78x = 30,385,304,302,243,036
  5. Step 5: Solve for x
    x = 30,385,304,302,243,036/114,792,007.78
  6. Step 6: Final answer
    x = 264,698,779.03

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.