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Finding the Third Proportional to 114,849,009 and 176,531,161.50

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Solution

The third proportional to 114,849,009 and 176,531,161.50 is: 271,341,052.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,849,009 : 176,531,161.50 = 176,531,161.50 : x
  2. Step 2: Convert to fraction form
    114,849,009/176,531,161.50 = 176,531,161.50/x
  3. Step 3: Cross multiply
    114,849,009x = 176,531,161.50 × 176,531,161.50
  4. Step 4: Simplify right side
    114,849,009x = 31,163,250,980,539,084
  5. Step 5: Solve for x
    x = 31,163,250,980,539,084/114,849,009
  6. Step 6: Final answer
    x = 271,341,052.50

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.