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Finding the Third Proportional to 145,511,584.50 and 310,072,011

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Solution

The third proportional to 145,511,584.50 and 310,072,011 is: 660,735,379.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,511,584.50 : 310,072,011 = 310,072,011 : x
  2. Step 2: Convert to fraction form
    145,511,584.50/310,072,011 = 310,072,011/x
  3. Step 3: Cross multiply
    145,511,584.50x = 310,072,011 × 310,072,011
  4. Step 4: Simplify right side
    145,511,584.50x = 96,144,652,005,584,128
  5. Step 5: Solve for x
    x = 96,144,652,005,584,128/145,511,584.50
  6. Step 6: Final answer
    x = 660,735,379.50

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.