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Finding the Third Proportional to 249,177,467.25 and 536,985,009

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Solution

The third proportional to 249,177,467.25 and 536,985,009 is: 1,157,219,001.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,177,467.25 : 536,985,009 = 536,985,009 : x
  2. Step 2: Convert to fraction form
    249,177,467.25/536,985,009 = 536,985,009/x
  3. Step 3: Cross multiply
    249,177,467.25x = 536,985,009 × 536,985,009
  4. Step 4: Simplify right side
    249,177,467.25x = 288,352,899,890,730,112
  5. Step 5: Solve for x
    x = 288,352,899,890,730,112/249,177,467.25
  6. Step 6: Final answer
    x = 1,157,219,001.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.