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Finding the Third Proportional to 153,235,806,804 and 358,027,987,572

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Solution

The third proportional to 153,235,806,804 and 358,027,987,572 is: 836,514,927,929.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,235,806,804 : 358,027,987,572 = 358,027,987,572 : x
  2. Step 2: Convert to fraction form
    153,235,806,804/358,027,987,572 = 358,027,987,572/x
  3. Step 3: Cross multiply
    153,235,806,804x = 358,027,987,572 × 358,027,987,572
  4. Step 4: Simplify right side
    153,235,806,804x = 128,184,039,884,856,190,042,112
  5. Step 5: Solve for x
    x = 128,184,039,884,856,190,042,112/153,235,806,804
  6. Step 6: Final answer
    x = 836,514,927,929.43

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.