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Finding the Third Proportional to 216,095,266.50 and 473,173,939.50

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Solution

The third proportional to 216,095,266.50 and 473,173,939.50 is: 1,036,087,373.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,095,266.50 : 473,173,939.50 = 473,173,939.50 : x
  2. Step 2: Convert to fraction form
    216,095,266.50/473,173,939.50 = 473,173,939.50/x
  3. Step 3: Cross multiply
    216,095,266.50x = 473,173,939.50 × 473,173,939.50
  4. Step 4: Simplify right side
    216,095,266.50x = 223,893,577,021,949,664
  5. Step 5: Solve for x
    x = 223,893,577,021,949,664/216,095,266.50
  6. Step 6: Final answer
    x = 1,036,087,373.17

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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.