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Finding the Third Proportional to 46,547,536.75 and 98,769,010.64

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Solution

The third proportional to 46,547,536.75 and 98,769,010.64 is: 209,577,523.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,547,536.75 : 98,769,010.64 = 98,769,010.64 : x
  2. Step 2: Convert to fraction form
    46,547,536.75/98,769,010.64 = 98,769,010.64/x
  3. Step 3: Cross multiply
    46,547,536.75x = 98,769,010.64 × 98,769,010.64
  4. Step 4: Simplify right side
    46,547,536.75x = 9,755,317,462,927,894
  5. Step 5: Solve for x
    x = 9,755,317,462,927,894/46,547,536.75
  6. Step 6: Final answer
    x = 209,577,523.21

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.