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Finding the Third Proportional to 216,095,263 and 473,173,933

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Solution

The third proportional to 216,095,263 and 473,173,933 is: 1,036,087,361.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,095,263 : 473,173,933 = 473,173,933 : x
  2. Step 2: Convert to fraction form
    216,095,263/473,173,933 = 473,173,933/x
  3. Step 3: Cross multiply
    216,095,263x = 473,173,933 × 473,173,933
  4. Step 4: Simplify right side
    216,095,263x = 223,893,570,870,688,480
  5. Step 5: Solve for x
    x = 223,893,570,870,688,480/216,095,263
  6. Step 6: Final answer
    x = 1,036,087,361.48

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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.