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Finding the Third Proportional to 182,574,066 and 282,802,864.75

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Solution

The third proportional to 182,574,066 and 282,802,864.75 is: 438,054,878.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,574,066 : 282,802,864.75 = 282,802,864.75 : x
  2. Step 2: Convert to fraction form
    182,574,066/282,802,864.75 = 282,802,864.75/x
  3. Step 3: Cross multiply
    182,574,066x = 282,802,864.75 × 282,802,864.75
  4. Step 4: Simplify right side
    182,574,066x = 79,977,460,310,806,800
  5. Step 5: Solve for x
    x = 79,977,460,310,806,800/182,574,066
  6. Step 6: Final answer
    x = 438,054,878.57

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.