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Finding the Third Proportional to 216,095,262.75 and 473,173,933.50

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Solution

The third proportional to 216,095,262.75 and 473,173,933.50 is: 1,036,087,364.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,095,262.75 : 473,173,933.50 = 473,173,933.50 : x
  2. Step 2: Convert to fraction form
    216,095,262.75/473,173,933.50 = 473,173,933.50/x
  3. Step 3: Cross multiply
    216,095,262.75x = 473,173,933.50 × 473,173,933.50
  4. Step 4: Simplify right side
    216,095,262.75x = 223,893,571,343,862,432
  5. Step 5: Solve for x
    x = 223,893,571,343,862,432/216,095,262.75
  6. Step 6: Final answer
    x = 1,036,087,364.87

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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.