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Finding the Third Proportional to 115,045,123.50 and 178,502,746.50

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Solution

The third proportional to 115,045,123.50 and 178,502,746.50 is: 276,962,895.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,045,123.50 : 178,502,746.50 = 178,502,746.50 : x
  2. Step 2: Convert to fraction form
    115,045,123.50/178,502,746.50 = 178,502,746.50/x
  3. Step 3: Cross multiply
    115,045,123.50x = 178,502,746.50 × 178,502,746.50
  4. Step 4: Simplify right side
    115,045,123.50x = 31,863,230,508,043,264
  5. Step 5: Solve for x
    x = 31,863,230,508,043,264/115,045,123.50
  6. Step 6: Final answer
    x = 276,962,895.42

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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.