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Finding the Third Proportional to 221,089,788 and 473,237,436.50

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Solution

The third proportional to 221,089,788 and 473,237,436.50 is: 1,012,953,485.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,089,788 : 473,237,436.50 = 473,237,436.50 : x
  2. Step 2: Convert to fraction form
    221,089,788/473,237,436.50 = 473,237,436.50/x
  3. Step 3: Cross multiply
    221,089,788x = 473,237,436.50 × 473,237,436.50
  4. Step 4: Simplify right side
    221,089,788x = 223,953,671,305,091,520
  5. Step 5: Solve for x
    x = 223,953,671,305,091,520/221,089,788
  6. Step 6: Final answer
    x = 1,012,953,485.24

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.