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Finding the Third Proportional to 164,979,085.50 and 358,333,714.50

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Solution

The third proportional to 164,979,085.50 and 358,333,714.50 is: 778,298,961.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,979,085.50 : 358,333,714.50 = 358,333,714.50 : x
  2. Step 2: Convert to fraction form
    164,979,085.50/358,333,714.50 = 358,333,714.50/x
  3. Step 3: Cross multiply
    164,979,085.50x = 358,333,714.50 × 358,333,714.50
  4. Step 4: Simplify right side
    164,979,085.50x = 128,403,050,947,367,504
  5. Step 5: Solve for x
    x = 128,403,050,947,367,504/164,979,085.50
  6. Step 6: Final answer
    x = 778,298,961.70

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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.