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Finding the Third Proportional to 176,890,998 and 382,756,668

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Solution

The third proportional to 176,890,998 and 382,756,668 is: 828,208,719.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,890,998 : 382,756,668 = 382,756,668 : x
  2. Step 2: Convert to fraction form
    176,890,998/382,756,668 = 382,756,668/x
  3. Step 3: Cross multiply
    176,890,998x = 382,756,668 × 382,756,668
  4. Step 4: Simplify right side
    176,890,998x = 146,502,666,898,462,208
  5. Step 5: Solve for x
    x = 146,502,666,898,462,208/176,890,998
  6. Step 6: Final answer
    x = 828,208,719.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.