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Finding the Third Proportional to 45,503,946 and 98,280,303.75

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Solution

The third proportional to 45,503,946 and 98,280,303.75 is: 212,267,703.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,503,946 : 98,280,303.75 = 98,280,303.75 : x
  2. Step 2: Convert to fraction form
    45,503,946/98,280,303.75 = 98,280,303.75/x
  3. Step 3: Cross multiply
    45,503,946x = 98,280,303.75 × 98,280,303.75
  4. Step 4: Simplify right side
    45,503,946x = 9,659,018,105,192,264
  5. Step 5: Solve for x
    x = 9,659,018,105,192,264/45,503,946
  6. Step 6: Final answer
    x = 212,267,703.23

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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.