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Finding the Third Proportional to 98,426,745 and 215,389,773

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Solution

The third proportional to 98,426,745 and 215,389,773 is: 471,342,969.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,426,745 : 215,389,773 = 215,389,773 : x
  2. Step 2: Convert to fraction form
    98,426,745/215,389,773 = 215,389,773/x
  3. Step 3: Cross multiply
    98,426,745x = 215,389,773 × 215,389,773
  4. Step 4: Simplify right side
    98,426,745x = 46,392,754,312,991,528
  5. Step 5: Solve for x
    x = 46,392,754,312,991,528/98,426,745
  6. Step 6: Final answer
    x = 471,342,969.97

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.