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Finding the Third Proportional to 305,118,688.50 and 662,252,114.25

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Solution

The third proportional to 305,118,688.50 and 662,252,114.25 is: 1,437,400,852.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,118,688.50 : 662,252,114.25 = 662,252,114.25 : x
  2. Step 2: Convert to fraction form
    305,118,688.50/662,252,114.25 = 662,252,114.25/x
  3. Step 3: Cross multiply
    305,118,688.50x = 662,252,114.25 × 662,252,114.25
  4. Step 4: Simplify right side
    305,118,688.50x = 438,577,862,828,595,072
  5. Step 5: Solve for x
    x = 438,577,862,828,595,072/305,118,688.50
  6. Step 6: Final answer
    x = 1,437,400,852.06

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.