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Finding the Third Proportional to 232,835,715.50 and 357,885,178

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Solution

The third proportional to 232,835,715.50 and 357,885,178 is: 550,095,161.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,835,715.50 : 357,885,178 = 357,885,178 : x
  2. Step 2: Convert to fraction form
    232,835,715.50/357,885,178 = 357,885,178/x
  3. Step 3: Cross multiply
    232,835,715.50x = 357,885,178 × 357,885,178
  4. Step 4: Simplify right side
    232,835,715.50x = 128,081,800,632,091,680
  5. Step 5: Solve for x
    x = 128,081,800,632,091,680/232,835,715.50
  6. Step 6: Final answer
    x = 550,095,161.98

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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.