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Finding the Third Proportional to 104,483,386.50 and 243,985,802.25

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Solution

The third proportional to 104,483,386.50 and 243,985,802.25 is: 569,746,767.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,483,386.50 : 243,985,802.25 = 243,985,802.25 : x
  2. Step 2: Convert to fraction form
    104,483,386.50/243,985,802.25 = 243,985,802.25/x
  3. Step 3: Cross multiply
    104,483,386.50x = 243,985,802.25 × 243,985,802.25
  4. Step 4: Simplify right side
    104,483,386.50x = 59,529,071,699,576,104
  5. Step 5: Solve for x
    x = 59,529,071,699,576,104/104,483,386.50
  6. Step 6: Final answer
    x = 569,746,767.34

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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.