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Finding the Third Proportional to 45,681,570 and 98,643,989.25

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Solution

The third proportional to 45,681,570 and 98,643,989.25 is: 213,010,117.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,681,570 : 98,643,989.25 = 98,643,989.25 : x
  2. Step 2: Convert to fraction form
    45,681,570/98,643,989.25 = 98,643,989.25/x
  3. Step 3: Cross multiply
    45,681,570x = 98,643,989.25 × 98,643,989.25
  4. Step 4: Simplify right side
    45,681,570x = 9,730,636,615,154,116
  5. Step 5: Solve for x
    x = 9,730,636,615,154,116/45,681,570
  6. Step 6: Final answer
    x = 213,010,117.98

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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.