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Finding the Third Proportional to 48,273,823.50 and 105,730,696.50

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Solution

The third proportional to 48,273,823.50 and 105,730,696.50 is: 231,574,368.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,273,823.50 : 105,730,696.50 = 105,730,696.50 : x
  2. Step 2: Convert to fraction form
    48,273,823.50/105,730,696.50 = 105,730,696.50/x
  3. Step 3: Cross multiply
    48,273,823.50x = 105,730,696.50 × 105,730,696.50
  4. Step 4: Simplify right side
    48,273,823.50x = 11,178,980,182,375,112
  5. Step 5: Solve for x
    x = 11,178,980,182,375,112/48,273,823.50
  6. Step 6: Final answer
    x = 231,574,368.30

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.