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Finding the Third Proportional to 114,225,029.44 and 176,577,332.81

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Solution

The third proportional to 114,225,029.44 and 176,577,332.81 is: 272,966,044.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,225,029.44 : 176,577,332.81 = 176,577,332.81 : x
  2. Step 2: Convert to fraction form
    114,225,029.44/176,577,332.81 = 176,577,332.81/x
  3. Step 3: Cross multiply
    114,225,029.44x = 176,577,332.81 × 176,577,332.81
  4. Step 4: Simplify right side
    114,225,029.44x = 31,179,554,463,176,388
  5. Step 5: Solve for x
    x = 31,179,554,463,176,388/114,225,029.44
  6. Step 6: Final answer
    x = 272,966,044.45

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