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Finding the Third Proportional to 161,713,815.19 and 351,761,547.66

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Solution

The third proportional to 161,713,815.19 and 351,761,547.66 is: 765,155,322.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,713,815.19 : 351,761,547.66 = 351,761,547.66 : x
  2. Step 2: Convert to fraction form
    161,713,815.19/351,761,547.66 = 351,761,547.66/x
  3. Step 3: Cross multiply
    161,713,815.19x = 351,761,547.66 × 351,761,547.66
  4. Step 4: Simplify right side
    161,713,815.19x = 123,736,186,409,513,200
  5. Step 5: Solve for x
    x = 123,736,186,409,513,200/161,713,815.19
  6. Step 6: Final answer
    x = 765,155,322.48

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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.