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Finding the Third Proportional to 164,979,097.50 and 358,333,738.50

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Solution

The third proportional to 164,979,097.50 and 358,333,738.50 is: 778,299,009.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,979,097.50 : 358,333,738.50 = 358,333,738.50 : x
  2. Step 2: Convert to fraction form
    164,979,097.50/358,333,738.50 = 358,333,738.50/x
  3. Step 3: Cross multiply
    164,979,097.50x = 358,333,738.50 × 358,333,738.50
  4. Step 4: Simplify right side
    164,979,097.50x = 128,403,068,147,386,384
  5. Step 5: Solve for x
    x = 128,403,068,147,386,384/164,979,097.50
  6. Step 6: Final answer
    x = 778,299,009.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.