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Finding the Third Proportional to 306,295,320 and 463,089,883.50

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Solution

The third proportional to 306,295,320 and 463,089,883.50 is: 700,148,602.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,295,320 : 463,089,883.50 = 463,089,883.50 : x
  2. Step 2: Convert to fraction form
    306,295,320/463,089,883.50 = 463,089,883.50/x
  3. Step 3: Cross multiply
    306,295,320x = 463,089,883.50 × 463,089,883.50
  4. Step 4: Simplify right side
    306,295,320x = 214,452,240,200,043,584
  5. Step 5: Solve for x
    x = 214,452,240,200,043,584/306,295,320
  6. Step 6: Final answer
    x = 700,148,602.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.