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Finding the Third Proportional to 46,646,590.50 and 101,497,297.50

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Solution

The third proportional to 46,646,590.50 and 101,497,297.50 is: 220,845,752.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,646,590.50 : 101,497,297.50 = 101,497,297.50 : x
  2. Step 2: Convert to fraction form
    46,646,590.50/101,497,297.50 = 101,497,297.50/x
  3. Step 3: Cross multiply
    46,646,590.50x = 101,497,297.50 × 101,497,297.50
  4. Step 4: Simplify right side
    46,646,590.50x = 10,301,701,399,803,506
  5. Step 5: Solve for x
    x = 10,301,701,399,803,506/46,646,590.50
  6. Step 6: Final answer
    x = 220,845,752.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.