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Finding the Third Proportional to 114,355,800 and 176,698,669.50

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Solution

The third proportional to 114,355,800 and 176,698,669.50 is: 273,028,738.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,355,800 : 176,698,669.50 = 176,698,669.50 : x
  2. Step 2: Convert to fraction form
    114,355,800/176,698,669.50 = 176,698,669.50/x
  3. Step 3: Cross multiply
    114,355,800x = 176,698,669.50 × 176,698,669.50
  4. Step 4: Simplify right side
    114,355,800x = 31,222,419,803,070,232
  5. Step 5: Solve for x
    x = 31,222,419,803,070,232/114,355,800
  6. Step 6: Final answer
    x = 273,028,738.40

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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.